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Finding the Fourth Proportional to 475.96, 714.11 and 345.74

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Solution

The fourth proportional to 475.96, 714.11 and 345.74 is: 518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.96 : 714.11 = 345.74 : x
  2. Step 2: Convert to fraction form
    475.96/714.11 = 345.74/x
  3. Step 3: Cross multiply
    475.96x = 714.11 × 345.74
  4. Step 4: Simplify right side
    475.96x = 246,891.76
  5. Step 5: Solve for x
    x = 246,891.76/475.96
  6. Step 6: Final answer
    x = 518.73

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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.