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Finding the Fourth Proportional to 642.18, 885.89 and 421.10

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Solution

The fourth proportional to 642.18, 885.89 and 421.10 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.18 : 885.89 = 421.10 : x
  2. Step 2: Convert to fraction form
    642.18/885.89 = 421.10/x
  3. Step 3: Cross multiply
    642.18x = 885.89 × 421.10
  4. Step 4: Simplify right side
    642.18x = 373,045.86
  5. Step 5: Solve for x
    x = 373,045.86/642.18
  6. Step 6: Final answer
    x = 580.91

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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.