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Finding the Fourth Proportional to 588.48, 880.56 and 496.32

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Solution

The fourth proportional to 588.48, 880.56 and 496.32 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 880.56 = 496.32 : x
  2. Step 2: Convert to fraction form
    588.48/880.56 = 496.32/x
  3. Step 3: Cross multiply
    588.48x = 880.56 × 496.32
  4. Step 4: Simplify right side
    588.48x = 437,039.54
  5. Step 5: Solve for x
    x = 437,039.54/588.48
  6. Step 6: Final answer
    x = 742.66

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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.