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Finding the Fourth Proportional to 702.93, 970.06 and 388.19

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Solution

The fourth proportional to 702.93, 970.06 and 388.19 is: 535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.93 : 970.06 = 388.19 : x
  2. Step 2: Convert to fraction form
    702.93/970.06 = 388.19/x
  3. Step 3: Cross multiply
    702.93x = 970.06 × 388.19
  4. Step 4: Simplify right side
    702.93x = 376,569.05
  5. Step 5: Solve for x
    x = 376,569.05/702.93
  6. Step 6: Final answer
    x = 535.71

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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.