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Finding the Fourth Proportional to 531.52, 792.71 and 454.96

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Solution

The fourth proportional to 531.52, 792.71 and 454.96 is: 678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.52 : 792.71 = 454.96 : x
  2. Step 2: Convert to fraction form
    531.52/792.71 = 454.96/x
  3. Step 3: Cross multiply
    531.52x = 792.71 × 454.96
  4. Step 4: Simplify right side
    531.52x = 360,651.34
  5. Step 5: Solve for x
    x = 360,651.34/531.52
  6. Step 6: Final answer
    x = 678.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.