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Finding the Fourth Proportional to 475.98, 712.52 and 319.66

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Solution

The fourth proportional to 475.98, 712.52 and 319.66 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.98 : 712.52 = 319.66 : x
  2. Step 2: Convert to fraction form
    475.98/712.52 = 319.66/x
  3. Step 3: Cross multiply
    475.98x = 712.52 × 319.66
  4. Step 4: Simplify right side
    475.98x = 227,764.14
  5. Step 5: Solve for x
    x = 227,764.14/475.98
  6. Step 6: Final answer
    x = 478.52

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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.