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Finding the Fourth Proportional to 423.26, 583.96 and 265.91

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Solution

The fourth proportional to 423.26, 583.96 and 265.91 is: 366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.26 : 583.96 = 265.91 : x
  2. Step 2: Convert to fraction form
    423.26/583.96 = 265.91/x
  3. Step 3: Cross multiply
    423.26x = 583.96 × 265.91
  4. Step 4: Simplify right side
    423.26x = 155,280.80
  5. Step 5: Solve for x
    x = 155,280.80/423.26
  6. Step 6: Final answer
    x = 366.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.