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Finding the Fourth Proportional to 531.45, 797.17 and 314.88

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Solution

The fourth proportional to 531.45, 797.17 and 314.88 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.45 : 797.17 = 314.88 : x
  2. Step 2: Convert to fraction form
    531.45/797.17 = 314.88/x
  3. Step 3: Cross multiply
    531.45x = 797.17 × 314.88
  4. Step 4: Simplify right side
    531.45x = 251,012.89
  5. Step 5: Solve for x
    x = 251,012.89/531.45
  6. Step 6: Final answer
    x = 472.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.