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Finding the Fourth Proportional to 532.35, 733.78 and 401.13

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Solution

The fourth proportional to 532.35, 733.78 and 401.13 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 733.78 = 401.13 : x
  2. Step 2: Convert to fraction form
    532.35/733.78 = 401.13/x
  3. Step 3: Cross multiply
    532.35x = 733.78 × 401.13
  4. Step 4: Simplify right side
    532.35x = 294,340.17
  5. Step 5: Solve for x
    x = 294,340.17/532.35
  6. Step 6: Final answer
    x = 552.91

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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.