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Finding the Fourth Proportional to 548.15, 823.28 and 343.13

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Solution

The fourth proportional to 548.15, 823.28 and 343.13 is: 515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.15 : 823.28 = 343.13 : x
  2. Step 2: Convert to fraction form
    548.15/823.28 = 343.13/x
  3. Step 3: Cross multiply
    548.15x = 823.28 × 343.13
  4. Step 4: Simplify right side
    548.15x = 282,486.23
  5. Step 5: Solve for x
    x = 282,486.23/548.15
  6. Step 6: Final answer
    x = 515.35

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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.