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Finding the Fourth Proportional to 702.25, 1,052.97 and 312.25

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Solution

The fourth proportional to 702.25, 1,052.97 and 312.25 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.25 : 1,052.97 = 312.25 : x
  2. Step 2: Convert to fraction form
    702.25/1,052.97 = 312.25/x
  3. Step 3: Cross multiply
    702.25x = 1,052.97 × 312.25
  4. Step 4: Simplify right side
    702.25x = 328,789.88
  5. Step 5: Solve for x
    x = 328,789.88/702.25
  6. Step 6: Final answer
    x = 468.19

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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.