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Finding the Fourth Proportional to 585.42, 876.33 and 379.55

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Solution

The fourth proportional to 585.42, 876.33 and 379.55 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 876.33 = 379.55 : x
  2. Step 2: Convert to fraction form
    585.42/876.33 = 379.55/x
  3. Step 3: Cross multiply
    585.42x = 876.33 × 379.55
  4. Step 4: Simplify right side
    585.42x = 332,606.67
  5. Step 5: Solve for x
    x = 332,606.67/585.42
  6. Step 6: Final answer
    x = 568.15

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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.