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Finding the Fourth Proportional to 581.84, 872.75 and 235.17

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Solution

The fourth proportional to 581.84, 872.75 and 235.17 is: 352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 872.75 = 235.17 : x
  2. Step 2: Convert to fraction form
    581.84/872.75 = 235.17/x
  3. Step 3: Cross multiply
    581.84x = 872.75 × 235.17
  4. Step 4: Simplify right side
    581.84x = 205,241.43
  5. Step 5: Solve for x
    x = 205,241.43/581.84
  6. Step 6: Final answer
    x = 352.75

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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.