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Finding the Fourth Proportional to 549.34, 823.17 and 343.36

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Solution

The fourth proportional to 549.34, 823.17 and 343.36 is: 514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.34 : 823.17 = 343.36 : x
  2. Step 2: Convert to fraction form
    549.34/823.17 = 343.36/x
  3. Step 3: Cross multiply
    549.34x = 823.17 × 343.36
  4. Step 4: Simplify right side
    549.34x = 282,643.65
  5. Step 5: Solve for x
    x = 282,643.65/549.34
  6. Step 6: Final answer
    x = 514.51

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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.