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Finding the Fourth Proportional to 642.24, 886.41 and 420.75

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Solution

The fourth proportional to 642.24, 886.41 and 420.75 is: 580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 886.41 = 420.75 : x
  2. Step 2: Convert to fraction form
    642.24/886.41 = 420.75/x
  3. Step 3: Cross multiply
    642.24x = 886.41 × 420.75
  4. Step 4: Simplify right side
    642.24x = 372,957.01
  5. Step 5: Solve for x
    x = 372,957.01/642.24
  6. Step 6: Final answer
    x = 580.71

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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.