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Finding the Fourth Proportional to 702.24, 969.15 and 407.49

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Solution

The fourth proportional to 702.24, 969.15 and 407.49 is: 562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 969.15 = 407.49 : x
  2. Step 2: Convert to fraction form
    702.24/969.15 = 407.49/x
  3. Step 3: Cross multiply
    702.24x = 969.15 × 407.49
  4. Step 4: Simplify right side
    702.24x = 394,918.93
  5. Step 5: Solve for x
    x = 394,918.93/702.24
  6. Step 6: Final answer
    x = 562.37

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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.