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Finding the Fourth Proportional to 585.57, 878.97 and 431.67

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Solution

The fourth proportional to 585.57, 878.97 and 431.67 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.57 : 878.97 = 431.67 : x
  2. Step 2: Convert to fraction form
    585.57/878.97 = 431.67/x
  3. Step 3: Cross multiply
    585.57x = 878.97 × 431.67
  4. Step 4: Simplify right side
    585.57x = 379,424.98
  5. Step 5: Solve for x
    x = 379,424.98/585.57
  6. Step 6: Final answer
    x = 647.96

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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.