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Finding the Fourth Proportional to 367.32, 549.72 and 275.80

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Solution

The fourth proportional to 367.32, 549.72 and 275.80 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 549.72 = 275.80 : x
  2. Step 2: Convert to fraction form
    367.32/549.72 = 275.80/x
  3. Step 3: Cross multiply
    367.32x = 549.72 × 275.80
  4. Step 4: Simplify right side
    367.32x = 151,612.78
  5. Step 5: Solve for x
    x = 151,612.78/367.32
  6. Step 6: Final answer
    x = 412.75

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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.