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Finding the Fourth Proportional to 679.68, 1,017.90 and 390.24

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Solution

The fourth proportional to 679.68, 1,017.90 and 390.24 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.68 : 1,017.90 = 390.24 : x
  2. Step 2: Convert to fraction form
    679.68/1,017.90 = 390.24/x
  3. Step 3: Cross multiply
    679.68x = 1,017.90 × 390.24
  4. Step 4: Simplify right side
    679.68x = 397,225.30
  5. Step 5: Solve for x
    x = 397,225.30/679.68
  6. Step 6: Final answer
    x = 584.43

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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.