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Finding the Fourth Proportional to 585.42, 878.49 and 380.58

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Solution

The fourth proportional to 585.42, 878.49 and 380.58 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 878.49 = 380.58 : x
  2. Step 2: Convert to fraction form
    585.42/878.49 = 380.58/x
  3. Step 3: Cross multiply
    585.42x = 878.49 × 380.58
  4. Step 4: Simplify right side
    585.42x = 334,335.72
  5. Step 5: Solve for x
    x = 334,335.72/585.42
  6. Step 6: Final answer
    x = 571.10

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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.