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Finding the Fourth Proportional to 531.66, 798.70 and 458.76

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Solution

The fourth proportional to 531.66, 798.70 and 458.76 is: 689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 798.70 = 458.76 : x
  2. Step 2: Convert to fraction form
    531.66/798.70 = 458.76/x
  3. Step 3: Cross multiply
    531.66x = 798.70 × 458.76
  4. Step 4: Simplify right side
    531.66x = 366,411.61
  5. Step 5: Solve for x
    x = 366,411.61/531.66
  6. Step 6: Final answer
    x = 689.18

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