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Finding the Fourth Proportional to 642, 884.72 and 408.72

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Solution

The fourth proportional to 642, 884.72 and 408.72 is: 563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642 : 884.72 = 408.72 : x
  2. Step 2: Convert to fraction form
    642/884.72 = 408.72/x
  3. Step 3: Cross multiply
    642x = 884.72 × 408.72
  4. Step 4: Simplify right side
    642x = 361,602.76
  5. Step 5: Solve for x
    x = 361,602.76/642
  6. Step 6: Final answer
    x = 563.24

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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.