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Finding the Fourth Proportional to 702.90, 970.08 and 388.23

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Solution

The fourth proportional to 702.90, 970.08 and 388.23 is: 535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.90 : 970.08 = 388.23 : x
  2. Step 2: Convert to fraction form
    702.90/970.08 = 388.23/x
  3. Step 3: Cross multiply
    702.90x = 970.08 × 388.23
  4. Step 4: Simplify right side
    702.90x = 376,614.16
  5. Step 5: Solve for x
    x = 376,614.16/702.90
  6. Step 6: Final answer
    x = 535.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.