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Finding the Fourth Proportional to 294.69, 408.61 and 284.93

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Solution

The fourth proportional to 294.69, 408.61 and 284.93 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 408.61 = 284.93 : x
  2. Step 2: Convert to fraction form
    294.69/408.61 = 284.93/x
  3. Step 3: Cross multiply
    294.69x = 408.61 × 284.93
  4. Step 4: Simplify right side
    294.69x = 116,426.98
  5. Step 5: Solve for x
    x = 116,426.98/294.69
  6. Step 6: Final answer
    x = 395.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.