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Finding the Fourth Proportional to 581.38, 872.92 and 465.48

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Solution

The fourth proportional to 581.38, 872.92 and 465.48 is: 698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.38 : 872.92 = 465.48 : x
  2. Step 2: Convert to fraction form
    581.38/872.92 = 465.48/x
  3. Step 3: Cross multiply
    581.38x = 872.92 × 465.48
  4. Step 4: Simplify right side
    581.38x = 406,326.80
  5. Step 5: Solve for x
    x = 406,326.80/581.38
  6. Step 6: Final answer
    x = 698.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.