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Finding the Fourth Proportional to 583.98, 871.69 and 535.29

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Solution

The fourth proportional to 583.98, 871.69 and 535.29 is: 799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 871.69 = 535.29 : x
  2. Step 2: Convert to fraction form
    583.98/871.69 = 535.29/x
  3. Step 3: Cross multiply
    583.98x = 871.69 × 535.29
  4. Step 4: Simplify right side
    583.98x = 466,606.94
  5. Step 5: Solve for x
    x = 466,606.94/583.98
  6. Step 6: Final answer
    x = 799.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.