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Finding the Fourth Proportional to 423.98, 584.84 and 292.76

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Solution

The fourth proportional to 423.98, 584.84 and 292.76 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 584.84 = 292.76 : x
  2. Step 2: Convert to fraction form
    423.98/584.84 = 292.76/x
  3. Step 3: Cross multiply
    423.98x = 584.84 × 292.76
  4. Step 4: Simplify right side
    423.98x = 171,217.76
  5. Step 5: Solve for x
    x = 171,217.76/423.98
  6. Step 6: Final answer
    x = 403.83

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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.