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Finding the Fourth Proportional to 702.10, 968.97 and 422.43

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Solution

The fourth proportional to 702.10, 968.97 and 422.43 is: 583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.10 : 968.97 = 422.43 : x
  2. Step 2: Convert to fraction form
    702.10/968.97 = 422.43/x
  3. Step 3: Cross multiply
    702.10x = 968.97 × 422.43
  4. Step 4: Simplify right side
    702.10x = 409,322.00
  5. Step 5: Solve for x
    x = 409,322.00/702.10
  6. Step 6: Final answer
    x = 583.00

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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.