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Finding the Fourth Proportional to 581.57, 872.36 and 498.79

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Solution

The fourth proportional to 581.57, 872.36 and 498.79 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.57 : 872.36 = 498.79 : x
  2. Step 2: Convert to fraction form
    581.57/872.36 = 498.79/x
  3. Step 3: Cross multiply
    581.57x = 872.36 × 498.79
  4. Step 4: Simplify right side
    581.57x = 435,123.51
  5. Step 5: Solve for x
    x = 435,123.51/581.57
  6. Step 6: Final answer
    x = 748.19

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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.