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Finding the Fourth Proportional to 650.18, 974.18 and 457.40

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Solution

The fourth proportional to 650.18, 974.18 and 457.40 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.18 : 974.18 = 457.40 : x
  2. Step 2: Convert to fraction form
    650.18/974.18 = 457.40/x
  3. Step 3: Cross multiply
    650.18x = 974.18 × 457.40
  4. Step 4: Simplify right side
    650.18x = 445,586.20
  5. Step 5: Solve for x
    x = 445,586.20/650.18
  6. Step 6: Final answer
    x = 685.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.