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Finding the Fourth Proportional to 423.20, 583.68 and 283.27

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Solution

The fourth proportional to 423.20, 583.68 and 283.27 is: 390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 583.68 = 283.27 : x
  2. Step 2: Convert to fraction form
    423.20/583.68 = 283.27/x
  3. Step 3: Cross multiply
    423.20x = 583.68 × 283.27
  4. Step 4: Simplify right side
    423.20x = 165,337.57
  5. Step 5: Solve for x
    x = 165,337.57/423.20
  6. Step 6: Final answer
    x = 390.69

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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.