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Finding the Fourth Proportional to 423.15, 584.02 and 265.87

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Solution

The fourth proportional to 423.15, 584.02 and 265.87 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.15 : 584.02 = 265.87 : x
  2. Step 2: Convert to fraction form
    423.15/584.02 = 265.87/x
  3. Step 3: Cross multiply
    423.15x = 584.02 × 265.87
  4. Step 4: Simplify right side
    423.15x = 155,273.40
  5. Step 5: Solve for x
    x = 155,273.40/423.15
  6. Step 6: Final answer
    x = 366.95

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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.