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Finding the Fourth Proportional to 499.13, 748.22 and 316.07

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Solution

The fourth proportional to 499.13, 748.22 and 316.07 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.13 : 748.22 = 316.07 : x
  2. Step 2: Convert to fraction form
    499.13/748.22 = 316.07/x
  3. Step 3: Cross multiply
    499.13x = 748.22 × 316.07
  4. Step 4: Simplify right side
    499.13x = 236,488.32
  5. Step 5: Solve for x
    x = 236,488.32/499.13
  6. Step 6: Final answer
    x = 473.80

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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.