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Finding the Fourth Proportional to 584.15, 877.46 and 367.88

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Solution

The fourth proportional to 584.15, 877.46 and 367.88 is: 552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.15 : 877.46 = 367.88 : x
  2. Step 2: Convert to fraction form
    584.15/877.46 = 367.88/x
  3. Step 3: Cross multiply
    584.15x = 877.46 × 367.88
  4. Step 4: Simplify right side
    584.15x = 322,793.76
  5. Step 5: Solve for x
    x = 322,793.76/584.15
  6. Step 6: Final answer
    x = 552.59

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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.