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Finding the Fourth Proportional to 962.20, 1,442.98 and 468.33

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Solution

The fourth proportional to 962.20, 1,442.98 and 468.33 is: 702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.20 : 1,442.98 = 468.33 : x
  2. Step 2: Convert to fraction form
    962.20/1,442.98 = 468.33/x
  3. Step 3: Cross multiply
    962.20x = 1,442.98 × 468.33
  4. Step 4: Simplify right side
    962.20x = 675,790.82
  5. Step 5: Solve for x
    x = 675,790.82/962.20
  6. Step 6: Final answer
    x = 702.34

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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.