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Finding the Fourth Proportional to 962.58, 1,443.88 and 414.76

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Solution

The fourth proportional to 962.58, 1,443.88 and 414.76 is: 622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.58 : 1,443.88 = 414.76 : x
  2. Step 2: Convert to fraction form
    962.58/1,443.88 = 414.76/x
  3. Step 3: Cross multiply
    962.58x = 1,443.88 × 414.76
  4. Step 4: Simplify right side
    962.58x = 598,863.67
  5. Step 5: Solve for x
    x = 598,863.67/962.58
  6. Step 6: Final answer
    x = 622.14

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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.