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Finding the Fourth Proportional to 617.29, 923.76 and 582.21

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Solution

The fourth proportional to 617.29, 923.76 and 582.21 is: 871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.29 : 923.76 = 582.21 : x
  2. Step 2: Convert to fraction form
    617.29/923.76 = 582.21/x
  3. Step 3: Cross multiply
    617.29x = 923.76 × 582.21
  4. Step 4: Simplify right side
    617.29x = 537,817.69
  5. Step 5: Solve for x
    x = 537,817.69/617.29
  6. Step 6: Final answer
    x = 871.26

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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.