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Finding the Fourth Proportional to 512.44, 707.40 and 346.75

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Solution

The fourth proportional to 512.44, 707.40 and 346.75 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 707.40 = 346.75 : x
  2. Step 2: Convert to fraction form
    512.44/707.40 = 346.75/x
  3. Step 3: Cross multiply
    512.44x = 707.40 × 346.75
  4. Step 4: Simplify right side
    512.44x = 245,290.95
  5. Step 5: Solve for x
    x = 245,290.95/512.44
  6. Step 6: Final answer
    x = 478.67

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.