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Finding the Fourth Proportional to 585.14, 872.01 and 568.27

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Solution

The fourth proportional to 585.14, 872.01 and 568.27 is: 846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 872.01 = 568.27 : x
  2. Step 2: Convert to fraction form
    585.14/872.01 = 568.27/x
  3. Step 3: Cross multiply
    585.14x = 872.01 × 568.27
  4. Step 4: Simplify right side
    585.14x = 495,534.28
  5. Step 5: Solve for x
    x = 495,534.28/585.14
  6. Step 6: Final answer
    x = 846.86

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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.