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Finding the Fourth Proportional to 462.96, 697.38 and 378.48

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Solution

The fourth proportional to 462.96, 697.38 and 378.48 is: 570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 697.38 = 378.48 : x
  2. Step 2: Convert to fraction form
    462.96/697.38 = 378.48/x
  3. Step 3: Cross multiply
    462.96x = 697.38 × 378.48
  4. Step 4: Simplify right side
    462.96x = 263,944.38
  5. Step 5: Solve for x
    x = 263,944.38/462.96
  6. Step 6: Final answer
    x = 570.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.