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Finding the Fourth Proportional to 581.48, 871.70 and 488.76

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Solution

The fourth proportional to 581.48, 871.70 and 488.76 is: 732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 871.70 = 488.76 : x
  2. Step 2: Convert to fraction form
    581.48/871.70 = 488.76/x
  3. Step 3: Cross multiply
    581.48x = 871.70 × 488.76
  4. Step 4: Simplify right side
    581.48x = 426,052.09
  5. Step 5: Solve for x
    x = 426,052.09/581.48
  6. Step 6: Final answer
    x = 732.70

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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.