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Finding the Fourth Proportional to 549.78, 758.82 and 317.04

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Solution

The fourth proportional to 549.78, 758.82 and 317.04 is: 437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.78 : 758.82 = 317.04 : x
  2. Step 2: Convert to fraction form
    549.78/758.82 = 317.04/x
  3. Step 3: Cross multiply
    549.78x = 758.82 × 317.04
  4. Step 4: Simplify right side
    549.78x = 240,576.29
  5. Step 5: Solve for x
    x = 240,576.29/549.78
  6. Step 6: Final answer
    x = 437.59

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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.