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Finding the Fourth Proportional to 702.74, 969.63 and 407.90

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Solution

The fourth proportional to 702.74, 969.63 and 407.90 is: 562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.74 : 969.63 = 407.90 : x
  2. Step 2: Convert to fraction form
    702.74/969.63 = 407.90/x
  3. Step 3: Cross multiply
    702.74x = 969.63 × 407.90
  4. Step 4: Simplify right side
    702.74x = 395,512.08
  5. Step 5: Solve for x
    x = 395,512.08/702.74
  6. Step 6: Final answer
    x = 562.81

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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.