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Finding the Fourth Proportional to 532.14, 735.16 and 506.82

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Solution

The fourth proportional to 532.14, 735.16 and 506.82 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 735.16 = 506.82 : x
  2. Step 2: Convert to fraction form
    532.14/735.16 = 506.82/x
  3. Step 3: Cross multiply
    532.14x = 735.16 × 506.82
  4. Step 4: Simplify right side
    532.14x = 372,593.79
  5. Step 5: Solve for x
    x = 372,593.79/532.14
  6. Step 6: Final answer
    x = 700.18

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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.