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Finding the Fourth Proportional to 583.11, 872.61 and 351.84

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Solution

The fourth proportional to 583.11, 872.61 and 351.84 is: 526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.11 : 872.61 = 351.84 : x
  2. Step 2: Convert to fraction form
    583.11/872.61 = 351.84/x
  3. Step 3: Cross multiply
    583.11x = 872.61 × 351.84
  4. Step 4: Simplify right side
    583.11x = 307,019.10
  5. Step 5: Solve for x
    x = 307,019.10/583.11
  6. Step 6: Final answer
    x = 526.52

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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.