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Finding the Fourth Proportional to 549.38, 758.21 and 316.50

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Solution

The fourth proportional to 549.38, 758.21 and 316.50 is: 436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 758.21 = 316.50 : x
  2. Step 2: Convert to fraction form
    549.38/758.21 = 316.50/x
  3. Step 3: Cross multiply
    549.38x = 758.21 × 316.50
  4. Step 4: Simplify right side
    549.38x = 239,973.47
  5. Step 5: Solve for x
    x = 239,973.47/549.38
  6. Step 6: Final answer
    x = 436.81

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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.