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Finding the Fourth Proportional to 702.95, 970.09 and 388.23

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Solution

The fourth proportional to 702.95, 970.09 and 388.23 is: 535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.95 : 970.09 = 388.23 : x
  2. Step 2: Convert to fraction form
    702.95/970.09 = 388.23/x
  3. Step 3: Cross multiply
    702.95x = 970.09 × 388.23
  4. Step 4: Simplify right side
    702.95x = 376,615.62
  5. Step 5: Solve for x
    x = 376,615.62/702.95
  6. Step 6: Final answer
    x = 535.77

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