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Finding the Fourth Proportional to 962.90, 1,444.16 and 415.34

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Solution

The fourth proportional to 962.90, 1,444.16 and 415.34 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.90 : 1,444.16 = 415.34 : x
  2. Step 2: Convert to fraction form
    962.90/1,444.16 = 415.34/x
  3. Step 3: Cross multiply
    962.90x = 1,444.16 × 415.34
  4. Step 4: Simplify right side
    962.90x = 599,817.41
  5. Step 5: Solve for x
    x = 599,817.41/962.90
  6. Step 6: Final answer
    x = 622.93

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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.