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Finding the Fourth Proportional to 642.50, 886.08 and 406.16

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Solution

The fourth proportional to 642.50, 886.08 and 406.16 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.50 : 886.08 = 406.16 : x
  2. Step 2: Convert to fraction form
    642.50/886.08 = 406.16/x
  3. Step 3: Cross multiply
    642.50x = 886.08 × 406.16
  4. Step 4: Simplify right side
    642.50x = 359,890.25
  5. Step 5: Solve for x
    x = 359,890.25/642.50
  6. Step 6: Final answer
    x = 560.14

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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.