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Finding the Fourth Proportional to 585.96, 876.88 and 462.94

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Solution

The fourth proportional to 585.96, 876.88 and 462.94 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 876.88 = 462.94 : x
  2. Step 2: Convert to fraction form
    585.96/876.88 = 462.94/x
  3. Step 3: Cross multiply
    585.96x = 876.88 × 462.94
  4. Step 4: Simplify right side
    585.96x = 405,938.61
  5. Step 5: Solve for x
    x = 405,938.61/585.96
  6. Step 6: Final answer
    x = 692.78

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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.