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Finding the Fourth Proportional to 702.77, 969.96 and 423.15

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Solution

The fourth proportional to 702.77, 969.96 and 423.15 is: 584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.77 : 969.96 = 423.15 : x
  2. Step 2: Convert to fraction form
    702.77/969.96 = 423.15/x
  3. Step 3: Cross multiply
    702.77x = 969.96 × 423.15
  4. Step 4: Simplify right side
    702.77x = 410,438.57
  5. Step 5: Solve for x
    x = 410,438.57/702.77
  6. Step 6: Final answer
    x = 584.03

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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.