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Finding the Fourth Proportional to 424.66, 637.11 and 208.36

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Solution

The fourth proportional to 424.66, 637.11 and 208.36 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 637.11 = 208.36 : x
  2. Step 2: Convert to fraction form
    424.66/637.11 = 208.36/x
  3. Step 3: Cross multiply
    424.66x = 637.11 × 208.36
  4. Step 4: Simplify right side
    424.66x = 132,748.24
  5. Step 5: Solve for x
    x = 132,748.24/424.66
  6. Step 6: Final answer
    x = 312.60

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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.