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Finding the Fourth Proportional to 294.57, 441.59 and 230.18

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Solution

The fourth proportional to 294.57, 441.59 and 230.18 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 441.59 = 230.18 : x
  2. Step 2: Convert to fraction form
    294.57/441.59 = 230.18/x
  3. Step 3: Cross multiply
    294.57x = 441.59 × 230.18
  4. Step 4: Simplify right side
    294.57x = 101,641.83
  5. Step 5: Solve for x
    x = 101,641.83/294.57
  6. Step 6: Final answer
    x = 345.05

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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.