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Finding the Fourth Proportional to 584.22, 877.20 and 365.78

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Solution

The fourth proportional to 584.22, 877.20 and 365.78 is: 549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.22 : 877.20 = 365.78 : x
  2. Step 2: Convert to fraction form
    584.22/877.20 = 365.78/x
  3. Step 3: Cross multiply
    584.22x = 877.20 × 365.78
  4. Step 4: Simplify right side
    584.22x = 320,856.00
  5. Step 5: Solve for x
    x = 320,856.00/584.22
  6. Step 6: Final answer
    x = 549.20

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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.