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Finding the Fourth Proportional to 588.24, 881.40 and 371.64

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Solution

The fourth proportional to 588.24, 881.40 and 371.64 is: 556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 881.40 = 371.64 : x
  2. Step 2: Convert to fraction form
    588.24/881.40 = 371.64/x
  3. Step 3: Cross multiply
    588.24x = 881.40 × 371.64
  4. Step 4: Simplify right side
    588.24x = 327,563.50
  5. Step 5: Solve for x
    x = 327,563.50/588.24
  6. Step 6: Final answer
    x = 556.85

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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.