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Finding the Fourth Proportional to 585.28, 874.67 and 512.38

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Solution

The fourth proportional to 585.28, 874.67 and 512.38 is: 765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 874.67 = 512.38 : x
  2. Step 2: Convert to fraction form
    585.28/874.67 = 512.38/x
  3. Step 3: Cross multiply
    585.28x = 874.67 × 512.38
  4. Step 4: Simplify right side
    585.28x = 448,163.41
  5. Step 5: Solve for x
    x = 448,163.41/585.28
  6. Step 6: Final answer
    x = 765.72

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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.