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Finding the Fourth Proportional to 499.08, 747.60 and 315.82

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Solution

The fourth proportional to 499.08, 747.60 and 315.82 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.08 : 747.60 = 315.82 : x
  2. Step 2: Convert to fraction form
    499.08/747.60 = 315.82/x
  3. Step 3: Cross multiply
    499.08x = 747.60 × 315.82
  4. Step 4: Simplify right side
    499.08x = 236,107.03
  5. Step 5: Solve for x
    x = 236,107.03/499.08
  6. Step 6: Final answer
    x = 473.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.