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Finding the Fourth Proportional to 423.30, 584.46 and 275.88

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Solution

The fourth proportional to 423.30, 584.46 and 275.88 is: 380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 584.46 = 275.88 : x
  2. Step 2: Convert to fraction form
    423.30/584.46 = 275.88/x
  3. Step 3: Cross multiply
    423.30x = 584.46 × 275.88
  4. Step 4: Simplify right side
    423.30x = 161,240.82
  5. Step 5: Solve for x
    x = 161,240.82/423.30
  6. Step 6: Final answer
    x = 380.91

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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.