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Finding the Fourth Proportional to 701.52, 968.49 and 436.06

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Solution

The fourth proportional to 701.52, 968.49 and 436.06 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 968.49 = 436.06 : x
  2. Step 2: Convert to fraction form
    701.52/968.49 = 436.06/x
  3. Step 3: Cross multiply
    701.52x = 968.49 × 436.06
  4. Step 4: Simplify right side
    701.52x = 422,319.75
  5. Step 5: Solve for x
    x = 422,319.75/701.52
  6. Step 6: Final answer
    x = 602.01

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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.