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Finding the Fourth Proportional to 423.44, 584.51 and 292.89

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Solution

The fourth proportional to 423.44, 584.51 and 292.89 is: 404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.44 : 584.51 = 292.89 : x
  2. Step 2: Convert to fraction form
    423.44/584.51 = 292.89/x
  3. Step 3: Cross multiply
    423.44x = 584.51 × 292.89
  4. Step 4: Simplify right side
    423.44x = 171,195.67
  5. Step 5: Solve for x
    x = 171,195.67/423.44
  6. Step 6: Final answer
    x = 404.30

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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.