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Finding the Fourth Proportional to 702.32, 969.14 and 407.52

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Solution

The fourth proportional to 702.32, 969.14 and 407.52 is: 562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.32 : 969.14 = 407.52 : x
  2. Step 2: Convert to fraction form
    702.32/969.14 = 407.52/x
  3. Step 3: Cross multiply
    702.32x = 969.14 × 407.52
  4. Step 4: Simplify right side
    702.32x = 394,944.95
  5. Step 5: Solve for x
    x = 394,944.95/702.32
  6. Step 6: Final answer
    x = 562.35

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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.