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Finding the Fourth Proportional to 499.25, 749.16 and 279.91

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Solution

The fourth proportional to 499.25, 749.16 and 279.91 is: 420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 749.16 = 279.91 : x
  2. Step 2: Convert to fraction form
    499.25/749.16 = 279.91/x
  3. Step 3: Cross multiply
    499.25x = 749.16 × 279.91
  4. Step 4: Simplify right side
    499.25x = 209,697.38
  5. Step 5: Solve for x
    x = 209,697.38/499.25
  6. Step 6: Final answer
    x = 420.02

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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.