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Finding the Fourth Proportional to 642.92, 887.44 and 410.18

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Solution

The fourth proportional to 642.92, 887.44 and 410.18 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.92 : 887.44 = 410.18 : x
  2. Step 2: Convert to fraction form
    642.92/887.44 = 410.18/x
  3. Step 3: Cross multiply
    642.92x = 887.44 × 410.18
  4. Step 4: Simplify right side
    642.92x = 364,010.14
  5. Step 5: Solve for x
    x = 364,010.14/642.92
  6. Step 6: Final answer
    x = 566.18

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Why These Related Problems?

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