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Finding the Fourth Proportional to 423.76, 584.61 and 257.95

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Solution

The fourth proportional to 423.76, 584.61 and 257.95 is: 355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.76 : 584.61 = 257.95 : x
  2. Step 2: Convert to fraction form
    423.76/584.61 = 257.95/x
  3. Step 3: Cross multiply
    423.76x = 584.61 × 257.95
  4. Step 4: Simplify right side
    423.76x = 150,798.69
  5. Step 5: Solve for x
    x = 150,798.69/423.76
  6. Step 6: Final answer
    x = 355.86

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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.