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Finding the Fourth Proportional to 424.56, 632.22 and 408

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Solution

The fourth proportional to 424.56, 632.22 and 408 is: 607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 632.22 = 408 : x
  2. Step 2: Convert to fraction form
    424.56/632.22 = 408/x
  3. Step 3: Cross multiply
    424.56x = 632.22 × 408
  4. Step 4: Simplify right side
    424.56x = 257,945.76
  5. Step 5: Solve for x
    x = 257,945.76/424.56
  6. Step 6: Final answer
    x = 607.56

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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.