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Finding the Fourth Proportional to 513.92, 770.88 and 256.64

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Solution

The fourth proportional to 513.92, 770.88 and 256.64 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 770.88 = 256.64 : x
  2. Step 2: Convert to fraction form
    513.92/770.88 = 256.64/x
  3. Step 3: Cross multiply
    513.92x = 770.88 × 256.64
  4. Step 4: Simplify right side
    513.92x = 197,838.64
  5. Step 5: Solve for x
    x = 197,838.64/513.92
  6. Step 6: Final answer
    x = 384.96

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.