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Finding the Fourth Proportional to 663.82, 916.10 and 431.34

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Solution

The fourth proportional to 663.82, 916.10 and 431.34 is: 595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.82 : 916.10 = 431.34 : x
  2. Step 2: Convert to fraction form
    663.82/916.10 = 431.34/x
  3. Step 3: Cross multiply
    663.82x = 916.10 × 431.34
  4. Step 4: Simplify right side
    663.82x = 395,150.57
  5. Step 5: Solve for x
    x = 395,150.57/663.82
  6. Step 6: Final answer
    x = 595.27

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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.