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Finding the Fourth Proportional to 702.95, 969.77 and 423.03

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Solution

The fourth proportional to 702.95, 969.77 and 423.03 is: 583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.95 : 969.77 = 423.03 : x
  2. Step 2: Convert to fraction form
    702.95/969.77 = 423.03/x
  3. Step 3: Cross multiply
    702.95x = 969.77 × 423.03
  4. Step 4: Simplify right side
    702.95x = 410,240.39
  5. Step 5: Solve for x
    x = 410,240.39/702.95
  6. Step 6: Final answer
    x = 583.60

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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.