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Finding the Fourth Proportional to 468.75, 702.44 and 371.49

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Solution

The fourth proportional to 468.75, 702.44 and 371.49 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 702.44 = 371.49 : x
  2. Step 2: Convert to fraction form
    468.75/702.44 = 371.49/x
  3. Step 3: Cross multiply
    468.75x = 702.44 × 371.49
  4. Step 4: Simplify right side
    468.75x = 260,947.58
  5. Step 5: Solve for x
    x = 260,947.58/468.75
  6. Step 6: Final answer
    x = 556.69

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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.