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Finding the Fourth Proportional to 531.90, 734.19 and 310.86

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Solution

The fourth proportional to 531.90, 734.19 and 310.86 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 734.19 = 310.86 : x
  2. Step 2: Convert to fraction form
    531.90/734.19 = 310.86/x
  3. Step 3: Cross multiply
    531.90x = 734.19 × 310.86
  4. Step 4: Simplify right side
    531.90x = 228,230.30
  5. Step 5: Solve for x
    x = 228,230.30/531.90
  6. Step 6: Final answer
    x = 429.08

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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.