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Finding the Fourth Proportional to 457.79, 631.78 and 374.65

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Solution

The fourth proportional to 457.79, 631.78 and 374.65 is: 517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.79 : 631.78 = 374.65 : x
  2. Step 2: Convert to fraction form
    457.79/631.78 = 374.65/x
  3. Step 3: Cross multiply
    457.79x = 631.78 × 374.65
  4. Step 4: Simplify right side
    457.79x = 236,693.86
  5. Step 5: Solve for x
    x = 236,693.86/457.79
  6. Step 6: Final answer
    x = 517.04

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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.