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Finding the Fourth Proportional to 702.29, 969.15 and 407.73

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Solution

The fourth proportional to 702.29, 969.15 and 407.73 is: 562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.29 : 969.15 = 407.73 : x
  2. Step 2: Convert to fraction form
    702.29/969.15 = 407.73/x
  3. Step 3: Cross multiply
    702.29x = 969.15 × 407.73
  4. Step 4: Simplify right side
    702.29x = 395,151.53
  5. Step 5: Solve for x
    x = 395,151.53/702.29
  6. Step 6: Final answer
    x = 562.66

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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.