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Finding the Fourth Proportional to 532.10, 734.24 and 311

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Solution

The fourth proportional to 532.10, 734.24 and 311 is: 429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 734.24 = 311 : x
  2. Step 2: Convert to fraction form
    532.10/734.24 = 311/x
  3. Step 3: Cross multiply
    532.10x = 734.24 × 311
  4. Step 4: Simplify right side
    532.10x = 228,348.64
  5. Step 5: Solve for x
    x = 228,348.64/532.10
  6. Step 6: Final answer
    x = 429.15

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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.