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Finding the Fourth Proportional to 588.64, 881.10 and 484.96

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Solution

The fourth proportional to 588.64, 881.10 and 484.96 is: 725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 881.10 = 484.96 : x
  2. Step 2: Convert to fraction form
    588.64/881.10 = 484.96/x
  3. Step 3: Cross multiply
    588.64x = 881.10 × 484.96
  4. Step 4: Simplify right side
    588.64x = 427,298.26
  5. Step 5: Solve for x
    x = 427,298.26/588.64
  6. Step 6: Final answer
    x = 725.91

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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.