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Finding the Fourth Proportional to 584.04, 871.33 and 568.68

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Solution

The fourth proportional to 584.04, 871.33 and 568.68 is: 848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 871.33 = 568.68 : x
  2. Step 2: Convert to fraction form
    584.04/871.33 = 568.68/x
  3. Step 3: Cross multiply
    584.04x = 871.33 × 568.68
  4. Step 4: Simplify right side
    584.04x = 495,507.94
  5. Step 5: Solve for x
    x = 495,507.94/584.04
  6. Step 6: Final answer
    x = 848.41

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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.