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Finding the Fourth Proportional to 702.27, 969.03 and 440.37

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Solution

The fourth proportional to 702.27, 969.03 and 440.37 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.27 : 969.03 = 440.37 : x
  2. Step 2: Convert to fraction form
    702.27/969.03 = 440.37/x
  3. Step 3: Cross multiply
    702.27x = 969.03 × 440.37
  4. Step 4: Simplify right side
    702.27x = 426,731.74
  5. Step 5: Solve for x
    x = 426,731.74/702.27
  6. Step 6: Final answer
    x = 607.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.