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Finding the Fourth Proportional to 424.18, 631.85 and 405.46

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Solution

The fourth proportional to 424.18, 631.85 and 405.46 is: 603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.18 : 631.85 = 405.46 : x
  2. Step 2: Convert to fraction form
    424.18/631.85 = 405.46/x
  3. Step 3: Cross multiply
    424.18x = 631.85 × 405.46
  4. Step 4: Simplify right side
    424.18x = 256,189.90
  5. Step 5: Solve for x
    x = 256,189.90/424.18
  6. Step 6: Final answer
    x = 603.97

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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.