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Finding the Fourth Proportional to 588.10, 883.01 and 577.73

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Solution

The fourth proportional to 588.10, 883.01 and 577.73 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.10 : 883.01 = 577.73 : x
  2. Step 2: Convert to fraction form
    588.10/883.01 = 577.73/x
  3. Step 3: Cross multiply
    588.10x = 883.01 × 577.73
  4. Step 4: Simplify right side
    588.10x = 510,134.06
  5. Step 5: Solve for x
    x = 510,134.06/588.10
  6. Step 6: Final answer
    x = 867.43

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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.