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Finding the Fourth Proportional to 642.65, 886.62 and 421.72

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Solution

The fourth proportional to 642.65, 886.62 and 421.72 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.65 : 886.62 = 421.72 : x
  2. Step 2: Convert to fraction form
    642.65/886.62 = 421.72/x
  3. Step 3: Cross multiply
    642.65x = 886.62 × 421.72
  4. Step 4: Simplify right side
    642.65x = 373,905.39
  5. Step 5: Solve for x
    x = 373,905.39/642.65
  6. Step 6: Final answer
    x = 581.82

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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.