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Finding the Fourth Proportional to 532.09, 733.61 and 357.13

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Solution

The fourth proportional to 532.09, 733.61 and 357.13 is: 492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.09 : 733.61 = 357.13 : x
  2. Step 2: Convert to fraction form
    532.09/733.61 = 357.13/x
  3. Step 3: Cross multiply
    532.09x = 733.61 × 357.13
  4. Step 4: Simplify right side
    532.09x = 261,988.69
  5. Step 5: Solve for x
    x = 261,988.69/532.09
  6. Step 6: Final answer
    x = 492.38

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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.