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Finding the Fourth Proportional to 475.46, 713.18 and 313.86

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Solution

The fourth proportional to 475.46, 713.18 and 313.86 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.46 : 713.18 = 313.86 : x
  2. Step 2: Convert to fraction form
    475.46/713.18 = 313.86/x
  3. Step 3: Cross multiply
    475.46x = 713.18 × 313.86
  4. Step 4: Simplify right side
    475.46x = 223,837.11
  5. Step 5: Solve for x
    x = 223,837.11/475.46
  6. Step 6: Final answer
    x = 470.79

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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.