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Finding the Fourth Proportional to 475.76, 657.40 and 371.12

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Solution

The fourth proportional to 475.76, 657.40 and 371.12 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 657.40 = 371.12 : x
  2. Step 2: Convert to fraction form
    475.76/657.40 = 371.12/x
  3. Step 3: Cross multiply
    475.76x = 657.40 × 371.12
  4. Step 4: Simplify right side
    475.76x = 243,974.29
  5. Step 5: Solve for x
    x = 243,974.29/475.76
  6. Step 6: Final answer
    x = 512.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.