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Finding the Fourth Proportional to 588.59, 880.45 and 535.13

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Solution

The fourth proportional to 588.59, 880.45 and 535.13 is: 800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.59 : 880.45 = 535.13 : x
  2. Step 2: Convert to fraction form
    588.59/880.45 = 535.13/x
  3. Step 3: Cross multiply
    588.59x = 880.45 × 535.13
  4. Step 4: Simplify right side
    588.59x = 471,153.01
  5. Step 5: Solve for x
    x = 471,153.01/588.59
  6. Step 6: Final answer
    x = 800.48

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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.