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Finding the Fourth Proportional to 549.66, 823.95 and 225.26

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Solution

The fourth proportional to 549.66, 823.95 and 225.26 is: 337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 823.95 = 225.26 : x
  2. Step 2: Convert to fraction form
    549.66/823.95 = 225.26/x
  3. Step 3: Cross multiply
    549.66x = 823.95 × 225.26
  4. Step 4: Simplify right side
    549.66x = 185,598.86
  5. Step 5: Solve for x
    x = 185,598.86/549.66
  6. Step 6: Final answer
    x = 337.66

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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.