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Finding the Fourth Proportional to 549.25, 758.09 and 342.37

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Solution

The fourth proportional to 549.25, 758.09 and 342.37 is: 472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 758.09 = 342.37 : x
  2. Step 2: Convert to fraction form
    549.25/758.09 = 342.37/x
  3. Step 3: Cross multiply
    549.25x = 758.09 × 342.37
  4. Step 4: Simplify right side
    549.25x = 259,547.27
  5. Step 5: Solve for x
    x = 259,547.27/549.25
  6. Step 6: Final answer
    x = 472.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.