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Finding the Fourth Proportional to 523.97, 724.43 and 501.02

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Solution

The fourth proportional to 523.97, 724.43 and 501.02 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 724.43 = 501.02 : x
  2. Step 2: Convert to fraction form
    523.97/724.43 = 501.02/x
  3. Step 3: Cross multiply
    523.97x = 724.43 × 501.02
  4. Step 4: Simplify right side
    523.97x = 362,947.79
  5. Step 5: Solve for x
    x = 362,947.79/523.97
  6. Step 6: Final answer
    x = 692.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.