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Finding the Fourth Proportional to 588.78, 883.80 and 372.78

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Solution

The fourth proportional to 588.78, 883.80 and 372.78 is: 559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 883.80 = 372.78 : x
  2. Step 2: Convert to fraction form
    588.78/883.80 = 372.78/x
  3. Step 3: Cross multiply
    588.78x = 883.80 × 372.78
  4. Step 4: Simplify right side
    588.78x = 329,462.96
  5. Step 5: Solve for x
    x = 329,462.96/588.78
  6. Step 6: Final answer
    x = 559.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.