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Finding the Fourth Proportional to 588.78, 883.38 and 524.28

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Solution

The fourth proportional to 588.78, 883.38 and 524.28 is: 786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 883.38 = 524.28 : x
  2. Step 2: Convert to fraction form
    588.78/883.38 = 524.28/x
  3. Step 3: Cross multiply
    588.78x = 883.38 × 524.28
  4. Step 4: Simplify right side
    588.78x = 463,138.47
  5. Step 5: Solve for x
    x = 463,138.47/588.78
  6. Step 6: Final answer
    x = 786.61

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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.