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Finding the Fourth Proportional to 457.68, 630.68 and 378.78

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Solution

The fourth proportional to 457.68, 630.68 and 378.78 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.68 : 630.68 = 378.78 : x
  2. Step 2: Convert to fraction form
    457.68/630.68 = 378.78/x
  3. Step 3: Cross multiply
    457.68x = 630.68 × 378.78
  4. Step 4: Simplify right side
    457.68x = 238,888.97
  5. Step 5: Solve for x
    x = 238,888.97/457.68
  6. Step 6: Final answer
    x = 521.96

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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.