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Finding the Fourth Proportional to 962.41, 1,444.27 and 414.65

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Solution

The fourth proportional to 962.41, 1,444.27 and 414.65 is: 622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.41 : 1,444.27 = 414.65 : x
  2. Step 2: Convert to fraction form
    962.41/1,444.27 = 414.65/x
  3. Step 3: Cross multiply
    962.41x = 1,444.27 × 414.65
  4. Step 4: Simplify right side
    962.41x = 598,865.52
  5. Step 5: Solve for x
    x = 598,865.52/962.41
  6. Step 6: Final answer
    x = 622.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.