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Finding the Fourth Proportional to 532.04, 734.46 and 310.92

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Solution

The fourth proportional to 532.04, 734.46 and 310.92 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 734.46 = 310.92 : x
  2. Step 2: Convert to fraction form
    532.04/734.46 = 310.92/x
  3. Step 3: Cross multiply
    532.04x = 734.46 × 310.92
  4. Step 4: Simplify right side
    532.04x = 228,358.30
  5. Step 5: Solve for x
    x = 228,358.30/532.04
  6. Step 6: Final answer
    x = 429.21

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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.