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Finding the Fourth Proportional to 702.90, 1,054.21 and 240.64

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Solution

The fourth proportional to 702.90, 1,054.21 and 240.64 is: 360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.90 : 1,054.21 = 240.64 : x
  2. Step 2: Convert to fraction form
    702.90/1,054.21 = 240.64/x
  3. Step 3: Cross multiply
    702.90x = 1,054.21 × 240.64
  4. Step 4: Simplify right side
    702.90x = 253,685.09
  5. Step 5: Solve for x
    x = 253,685.09/702.90
  6. Step 6: Final answer
    x = 360.91

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Why These Related Problems?

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