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Finding the Fourth Proportional to 499.66, 749.03 and 304.18

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Solution

The fourth proportional to 499.66, 749.03 and 304.18 is: 455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 749.03 = 304.18 : x
  2. Step 2: Convert to fraction form
    499.66/749.03 = 304.18/x
  3. Step 3: Cross multiply
    499.66x = 749.03 × 304.18
  4. Step 4: Simplify right side
    499.66x = 227,839.95
  5. Step 5: Solve for x
    x = 227,839.95/499.66
  6. Step 6: Final answer
    x = 455.99

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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.