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Finding the Fourth Proportional to 532, 734.10 and 310.92

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Solution

The fourth proportional to 532, 734.10 and 310.92 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 734.10 = 310.92 : x
  2. Step 2: Convert to fraction form
    532/734.10 = 310.92/x
  3. Step 3: Cross multiply
    532x = 734.10 × 310.92
  4. Step 4: Simplify right side
    532x = 228,248.98
  5. Step 5: Solve for x
    x = 228,248.98/532
  6. Step 6: Final answer
    x = 429.04

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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.