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Finding the Fourth Proportional to 532.02, 734.13 and 295.93

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Solution

The fourth proportional to 532.02, 734.13 and 295.93 is: 408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.02 : 734.13 = 295.93 : x
  2. Step 2: Convert to fraction form
    532.02/734.13 = 295.93/x
  3. Step 3: Cross multiply
    532.02x = 734.13 × 295.93
  4. Step 4: Simplify right side
    532.02x = 217,251.09
  5. Step 5: Solve for x
    x = 217,251.09/532.02
  6. Step 6: Final answer
    x = 408.35

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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.