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Finding the Fourth Proportional to 367.02, 549.48 and 268.86

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Solution

The fourth proportional to 367.02, 549.48 and 268.86 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.02 : 549.48 = 268.86 : x
  2. Step 2: Convert to fraction form
    367.02/549.48 = 268.86/x
  3. Step 3: Cross multiply
    367.02x = 549.48 × 268.86
  4. Step 4: Simplify right side
    367.02x = 147,733.19
  5. Step 5: Solve for x
    x = 147,733.19/367.02
  6. Step 6: Final answer
    x = 402.52

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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.