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Finding the Fourth Proportional to 642.09, 885.81 and 421.14

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Solution

The fourth proportional to 642.09, 885.81 and 421.14 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.09 : 885.81 = 421.14 : x
  2. Step 2: Convert to fraction form
    642.09/885.81 = 421.14/x
  3. Step 3: Cross multiply
    642.09x = 885.81 × 421.14
  4. Step 4: Simplify right side
    642.09x = 373,050.02
  5. Step 5: Solve for x
    x = 373,050.02/642.09
  6. Step 6: Final answer
    x = 580.99

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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.