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Finding the Fourth Proportional to 294.79, 441.49 and 284.54

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Solution

The fourth proportional to 294.79, 441.49 and 284.54 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.79 : 441.49 = 284.54 : x
  2. Step 2: Convert to fraction form
    294.79/441.49 = 284.54/x
  3. Step 3: Cross multiply
    294.79x = 441.49 × 284.54
  4. Step 4: Simplify right side
    294.79x = 125,620.07
  5. Step 5: Solve for x
    x = 125,620.07/294.79
  6. Step 6: Final answer
    x = 426.14

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Why These Related Problems?

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