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Finding the Fourth Proportional to 457.18, 630.84 and 270.68

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Solution

The fourth proportional to 457.18, 630.84 and 270.68 is: 373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 630.84 = 270.68 : x
  2. Step 2: Convert to fraction form
    457.18/630.84 = 270.68/x
  3. Step 3: Cross multiply
    457.18x = 630.84 × 270.68
  4. Step 4: Simplify right side
    457.18x = 170,753.63
  5. Step 5: Solve for x
    x = 170,753.63/457.18
  6. Step 6: Final answer
    x = 373.50

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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.