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Finding the Fourth Proportional to 645.50, 968.25 and 234.64

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Solution

The fourth proportional to 645.50, 968.25 and 234.64 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.50 : 968.25 = 234.64 : x
  2. Step 2: Convert to fraction form
    645.50/968.25 = 234.64/x
  3. Step 3: Cross multiply
    645.50x = 968.25 × 234.64
  4. Step 4: Simplify right side
    645.50x = 227,187.76
  5. Step 5: Solve for x
    x = 227,187.76/645.50
  6. Step 6: Final answer
    x = 351.95

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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.