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Finding the Fourth Proportional to 499.19, 747.16 and 367.38

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Solution

The fourth proportional to 499.19, 747.16 and 367.38 is: 549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.19 : 747.16 = 367.38 : x
  2. Step 2: Convert to fraction form
    499.19/747.16 = 367.38/x
  3. Step 3: Cross multiply
    499.19x = 747.16 × 367.38
  4. Step 4: Simplify right side
    499.19x = 274,492.84
  5. Step 5: Solve for x
    x = 274,492.84/499.19
  6. Step 6: Final answer
    x = 549.87

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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.