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Finding the Fourth Proportional to 962.90, 1,444.44 and 414.96

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Solution

The fourth proportional to 962.90, 1,444.44 and 414.96 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.90 : 1,444.44 = 414.96 : x
  2. Step 2: Convert to fraction form
    962.90/1,444.44 = 414.96/x
  3. Step 3: Cross multiply
    962.90x = 1,444.44 × 414.96
  4. Step 4: Simplify right side
    962.90x = 599,384.82
  5. Step 5: Solve for x
    x = 599,384.82/962.90
  6. Step 6: Final answer
    x = 622.48

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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.