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Finding the Fourth Proportional to 581.13, 872.06 and 426.68

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Solution

The fourth proportional to 581.13, 872.06 and 426.68 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 872.06 = 426.68 : x
  2. Step 2: Convert to fraction form
    581.13/872.06 = 426.68/x
  3. Step 3: Cross multiply
    581.13x = 872.06 × 426.68
  4. Step 4: Simplify right side
    581.13x = 372,084.07
  5. Step 5: Solve for x
    x = 372,084.07/581.13
  6. Step 6: Final answer
    x = 640.28

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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.