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Finding the Fourth Proportional to 588.29, 881.84 and 372.01

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Solution

The fourth proportional to 588.29, 881.84 and 372.01 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.29 : 881.84 = 372.01 : x
  2. Step 2: Convert to fraction form
    588.29/881.84 = 372.01/x
  3. Step 3: Cross multiply
    588.29x = 881.84 × 372.01
  4. Step 4: Simplify right side
    588.29x = 328,051.44
  5. Step 5: Solve for x
    x = 328,051.44/588.29
  6. Step 6: Final answer
    x = 557.64

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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.