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Finding the Fourth Proportional to 702.26, 968.64 and 453.20

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Solution

The fourth proportional to 702.26, 968.64 and 453.20 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.26 : 968.64 = 453.20 : x
  2. Step 2: Convert to fraction form
    702.26/968.64 = 453.20/x
  3. Step 3: Cross multiply
    702.26x = 968.64 × 453.20
  4. Step 4: Simplify right side
    702.26x = 438,987.65
  5. Step 5: Solve for x
    x = 438,987.65/702.26
  6. Step 6: Final answer
    x = 625.11

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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.