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Finding the Fourth Proportional to 642.48, 886.19 and 421.04

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Solution

The fourth proportional to 642.48, 886.19 and 421.04 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 886.19 = 421.04 : x
  2. Step 2: Convert to fraction form
    642.48/886.19 = 421.04/x
  3. Step 3: Cross multiply
    642.48x = 886.19 × 421.04
  4. Step 4: Simplify right side
    642.48x = 373,114.90
  5. Step 5: Solve for x
    x = 373,114.90/642.48
  6. Step 6: Final answer
    x = 580.74

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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.