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Finding the Fourth Proportional to 702.80, 1,054.24 and 240.60

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Solution

The fourth proportional to 702.80, 1,054.24 and 240.60 is: 360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.80 : 1,054.24 = 240.60 : x
  2. Step 2: Convert to fraction form
    702.80/1,054.24 = 240.60/x
  3. Step 3: Cross multiply
    702.80x = 1,054.24 × 240.60
  4. Step 4: Simplify right side
    702.80x = 253,650.14
  5. Step 5: Solve for x
    x = 253,650.14/702.80
  6. Step 6: Final answer
    x = 360.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.