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Finding the Fourth Proportional to 424.14, 637.68 and 333.94

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Solution

The fourth proportional to 424.14, 637.68 and 333.94 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 637.68 = 333.94 : x
  2. Step 2: Convert to fraction form
    424.14/637.68 = 333.94/x
  3. Step 3: Cross multiply
    424.14x = 637.68 × 333.94
  4. Step 4: Simplify right side
    424.14x = 212,946.86
  5. Step 5: Solve for x
    x = 212,946.86/424.14
  6. Step 6: Final answer
    x = 502.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.