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Finding the Fourth Proportional to 424.56, 637.20 and 208.38

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Solution

The fourth proportional to 424.56, 637.20 and 208.38 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 637.20 = 208.38 : x
  2. Step 2: Convert to fraction form
    424.56/637.20 = 208.38/x
  3. Step 3: Cross multiply
    424.56x = 637.20 × 208.38
  4. Step 4: Simplify right side
    424.56x = 132,779.74
  5. Step 5: Solve for x
    x = 132,779.74/424.56
  6. Step 6: Final answer
    x = 312.75

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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.