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Finding the Fourth Proportional to 663.15, 916.43 and 531.93

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Solution

The fourth proportional to 663.15, 916.43 and 531.93 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.15 : 916.43 = 531.93 : x
  2. Step 2: Convert to fraction form
    663.15/916.43 = 531.93/x
  3. Step 3: Cross multiply
    663.15x = 916.43 × 531.93
  4. Step 4: Simplify right side
    663.15x = 487,473.95
  5. Step 5: Solve for x
    x = 487,473.95/663.15
  6. Step 6: Final answer
    x = 735.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.