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Finding the Fourth Proportional to 532.74, 734.42 and 414.51

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Solution

The fourth proportional to 532.74, 734.42 and 414.51 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 734.42 = 414.51 : x
  2. Step 2: Convert to fraction form
    532.74/734.42 = 414.51/x
  3. Step 3: Cross multiply
    532.74x = 734.42 × 414.51
  4. Step 4: Simplify right side
    532.74x = 304,422.72
  5. Step 5: Solve for x
    x = 304,422.72/532.74
  6. Step 6: Final answer
    x = 571.42

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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.