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Finding the Fourth Proportional to 642.24, 886.68 and 409.50

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Solution

The fourth proportional to 642.24, 886.68 and 409.50 is: 565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 886.68 = 409.50 : x
  2. Step 2: Convert to fraction form
    642.24/886.68 = 409.50/x
  3. Step 3: Cross multiply
    642.24x = 886.68 × 409.50
  4. Step 4: Simplify right side
    642.24x = 363,095.46
  5. Step 5: Solve for x
    x = 363,095.46/642.24
  6. Step 6: Final answer
    x = 565.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.