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Finding the Fourth Proportional to 588.54, 878.45 and 519.35

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Solution

The fourth proportional to 588.54, 878.45 and 519.35 is: 775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.54 : 878.45 = 519.35 : x
  2. Step 2: Convert to fraction form
    588.54/878.45 = 519.35/x
  3. Step 3: Cross multiply
    588.54x = 878.45 × 519.35
  4. Step 4: Simplify right side
    588.54x = 456,223.01
  5. Step 5: Solve for x
    x = 456,223.01/588.54
  6. Step 6: Final answer
    x = 775.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.