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Finding the Fourth Proportional to 702.24, 969.01 and 407.62

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Solution

The fourth proportional to 702.24, 969.01 and 407.62 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 969.01 = 407.62 : x
  2. Step 2: Convert to fraction form
    702.24/969.01 = 407.62/x
  3. Step 3: Cross multiply
    702.24x = 969.01 × 407.62
  4. Step 4: Simplify right side
    702.24x = 394,987.86
  5. Step 5: Solve for x
    x = 394,987.86/702.24
  6. Step 6: Final answer
    x = 562.47

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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.