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Finding the Fourth Proportional to 588.35, 881.21 and 577.06

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Solution

The fourth proportional to 588.35, 881.21 and 577.06 is: 864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.35 : 881.21 = 577.06 : x
  2. Step 2: Convert to fraction form
    588.35/881.21 = 577.06/x
  3. Step 3: Cross multiply
    588.35x = 881.21 × 577.06
  4. Step 4: Simplify right side
    588.35x = 508,511.04
  5. Step 5: Solve for x
    x = 508,511.04/588.35
  6. Step 6: Final answer
    x = 864.30

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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.