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Finding the Fourth Proportional to 586.02, 878.60 and 256.88

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Solution

The fourth proportional to 586.02, 878.60 and 256.88 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 878.60 = 256.88 : x
  2. Step 2: Convert to fraction form
    586.02/878.60 = 256.88/x
  3. Step 3: Cross multiply
    586.02x = 878.60 × 256.88
  4. Step 4: Simplify right side
    586.02x = 225,694.77
  5. Step 5: Solve for x
    x = 225,694.77/586.02
  6. Step 6: Final answer
    x = 385.13

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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.