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Finding the Fourth Proportional to 423.53, 584.06 and 283.65

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Solution

The fourth proportional to 423.53, 584.06 and 283.65 is: 391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 584.06 = 283.65 : x
  2. Step 2: Convert to fraction form
    423.53/584.06 = 283.65/x
  3. Step 3: Cross multiply
    423.53x = 584.06 × 283.65
  4. Step 4: Simplify right side
    423.53x = 165,667.20
  5. Step 5: Solve for x
    x = 165,667.20/423.53
  6. Step 6: Final answer
    x = 391.16

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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.