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Finding the Fourth Proportional to 702.54, 969.50 and 387.75

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Solution

The fourth proportional to 702.54, 969.50 and 387.75 is: 535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.54 : 969.50 = 387.75 : x
  2. Step 2: Convert to fraction form
    702.54/969.50 = 387.75/x
  3. Step 3: Cross multiply
    702.54x = 969.50 × 387.75
  4. Step 4: Simplify right side
    702.54x = 375,921.69
  5. Step 5: Solve for x
    x = 375,921.69/702.54
  6. Step 6: Final answer
    x = 535.09

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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.