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Finding the Fourth Proportional to 294.60, 406.17 and 207.39

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Solution

The fourth proportional to 294.60, 406.17 and 207.39 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.17 = 207.39 : x
  2. Step 2: Convert to fraction form
    294.60/406.17 = 207.39/x
  3. Step 3: Cross multiply
    294.60x = 406.17 × 207.39
  4. Step 4: Simplify right side
    294.60x = 84,235.60
  5. Step 5: Solve for x
    x = 84,235.60/294.60
  6. Step 6: Final answer
    x = 285.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.