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Finding the Fourth Proportional to 532.35, 736.20 and 466.74

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Solution

The fourth proportional to 532.35, 736.20 and 466.74 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 736.20 = 466.74 : x
  2. Step 2: Convert to fraction form
    532.35/736.20 = 466.74/x
  3. Step 3: Cross multiply
    532.35x = 736.20 × 466.74
  4. Step 4: Simplify right side
    532.35x = 343,613.99
  5. Step 5: Solve for x
    x = 343,613.99/532.35
  6. Step 6: Final answer
    x = 645.47

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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.