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Finding the Fourth Proportional to 702.28, 969 and 407.53

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Solution

The fourth proportional to 702.28, 969 and 407.53 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.28 : 969 = 407.53 : x
  2. Step 2: Convert to fraction form
    702.28/969 = 407.53/x
  3. Step 3: Cross multiply
    702.28x = 969 × 407.53
  4. Step 4: Simplify right side
    702.28x = 394,896.57
  5. Step 5: Solve for x
    x = 394,896.57/702.28
  6. Step 6: Final answer
    x = 562.31

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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.