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Finding the Fourth Proportional to 584.77, 877.15 and 238.29

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Solution

The fourth proportional to 584.77, 877.15 and 238.29 is: 357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.77 : 877.15 = 238.29 : x
  2. Step 2: Convert to fraction form
    584.77/877.15 = 238.29/x
  3. Step 3: Cross multiply
    584.77x = 877.15 × 238.29
  4. Step 4: Simplify right side
    584.77x = 209,013.28
  5. Step 5: Solve for x
    x = 209,013.28/584.77
  6. Step 6: Final answer
    x = 357.43

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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.