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Finding the Fourth Proportional to 531.94, 734 and 310.92

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Solution

The fourth proportional to 531.94, 734 and 310.92 is: 429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.94 : 734 = 310.92 : x
  2. Step 2: Convert to fraction form
    531.94/734 = 310.92/x
  3. Step 3: Cross multiply
    531.94x = 734 × 310.92
  4. Step 4: Simplify right side
    531.94x = 228,215.28
  5. Step 5: Solve for x
    x = 228,215.28/531.94
  6. Step 6: Final answer
    x = 429.02

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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.