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Finding the Fourth Proportional to 663.92, 916.14 and 401.96

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Solution

The fourth proportional to 663.92, 916.14 and 401.96 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.92 : 916.14 = 401.96 : x
  2. Step 2: Convert to fraction form
    663.92/916.14 = 401.96/x
  3. Step 3: Cross multiply
    663.92x = 916.14 × 401.96
  4. Step 4: Simplify right side
    663.92x = 368,251.63
  5. Step 5: Solve for x
    x = 368,251.63/663.92
  6. Step 6: Final answer
    x = 554.66

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Why These Related Problems?

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