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Finding the Fourth Proportional to 962.74, 1,444.29 and 385.66

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Solution

The fourth proportional to 962.74, 1,444.29 and 385.66 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.74 : 1,444.29 = 385.66 : x
  2. Step 2: Convert to fraction form
    962.74/1,444.29 = 385.66/x
  3. Step 3: Cross multiply
    962.74x = 1,444.29 × 385.66
  4. Step 4: Simplify right side
    962.74x = 557,004.88
  5. Step 5: Solve for x
    x = 557,004.88/962.74
  6. Step 6: Final answer
    x = 578.56

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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.