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Finding the Fourth Proportional to 585.32, 878.02 and 256.27

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Solution

The fourth proportional to 585.32, 878.02 and 256.27 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.32 : 878.02 = 256.27 : x
  2. Step 2: Convert to fraction form
    585.32/878.02 = 256.27/x
  3. Step 3: Cross multiply
    585.32x = 878.02 × 256.27
  4. Step 4: Simplify right side
    585.32x = 225,007.35
  5. Step 5: Solve for x
    x = 225,007.35/585.32
  6. Step 6: Final answer
    x = 384.42

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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.