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Finding the Fourth Proportional to 423.35, 584.85 and 283.41

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Solution

The fourth proportional to 423.35, 584.85 and 283.41 is: 391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 584.85 = 283.41 : x
  2. Step 2: Convert to fraction form
    423.35/584.85 = 283.41/x
  3. Step 3: Cross multiply
    423.35x = 584.85 × 283.41
  4. Step 4: Simplify right side
    423.35x = 165,752.34
  5. Step 5: Solve for x
    x = 165,752.34/423.35
  6. Step 6: Final answer
    x = 391.53

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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.