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Finding the Fourth Proportional to 635.83, 952.23 and 583.90

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Solution

The fourth proportional to 635.83, 952.23 and 583.90 is: 874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.83 : 952.23 = 583.90 : x
  2. Step 2: Convert to fraction form
    635.83/952.23 = 583.90/x
  3. Step 3: Cross multiply
    635.83x = 952.23 × 583.90
  4. Step 4: Simplify right side
    635.83x = 556,007.10
  5. Step 5: Solve for x
    x = 556,007.10/635.83
  6. Step 6: Final answer
    x = 874.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.