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Finding the Fourth Proportional to 423.16, 584.14 and 275.92

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Solution

The fourth proportional to 423.16, 584.14 and 275.92 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 584.14 = 275.92 : x
  2. Step 2: Convert to fraction form
    423.16/584.14 = 275.92/x
  3. Step 3: Cross multiply
    423.16x = 584.14 × 275.92
  4. Step 4: Simplify right side
    423.16x = 161,175.91
  5. Step 5: Solve for x
    x = 161,175.91/423.16
  6. Step 6: Final answer
    x = 380.89

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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.