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Finding the Fourth Proportional to 468.52, 702.14 and 330.44

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Solution

The fourth proportional to 468.52, 702.14 and 330.44 is: 495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 702.14 = 330.44 : x
  2. Step 2: Convert to fraction form
    468.52/702.14 = 330.44/x
  3. Step 3: Cross multiply
    468.52x = 702.14 × 330.44
  4. Step 4: Simplify right side
    468.52x = 232,015.14
  5. Step 5: Solve for x
    x = 232,015.14/468.52
  6. Step 6: Final answer
    x = 495.21

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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.