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Finding the Fourth Proportional to 575.92, 794.14 and 456.07

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Solution

The fourth proportional to 575.92, 794.14 and 456.07 is: 628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 794.14 = 456.07 : x
  2. Step 2: Convert to fraction form
    575.92/794.14 = 456.07/x
  3. Step 3: Cross multiply
    575.92x = 794.14 × 456.07
  4. Step 4: Simplify right side
    575.92x = 362,183.43
  5. Step 5: Solve for x
    x = 362,183.43/575.92
  6. Step 6: Final answer
    x = 628.88

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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.