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Finding the Fourth Proportional to 588.56, 881.56 and 360.08

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Solution

The fourth proportional to 588.56, 881.56 and 360.08 is: 539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.56 : 881.56 = 360.08 : x
  2. Step 2: Convert to fraction form
    588.56/881.56 = 360.08/x
  3. Step 3: Cross multiply
    588.56x = 881.56 × 360.08
  4. Step 4: Simplify right side
    588.56x = 317,432.12
  5. Step 5: Solve for x
    x = 317,432.12/588.56
  6. Step 6: Final answer
    x = 539.34

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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.