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Finding the Fourth Proportional to 549.15, 823.73 and 343.95

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Solution

The fourth proportional to 549.15, 823.73 and 343.95 is: 515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.15 : 823.73 = 343.95 : x
  2. Step 2: Convert to fraction form
    549.15/823.73 = 343.95/x
  3. Step 3: Cross multiply
    549.15x = 823.73 × 343.95
  4. Step 4: Simplify right side
    549.15x = 283,320.21
  5. Step 5: Solve for x
    x = 283,320.21/549.15
  6. Step 6: Final answer
    x = 515.93

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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.