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Finding the Fourth Proportional to 294.72, 406.89 and 207.48

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Solution

The fourth proportional to 294.72, 406.89 and 207.48 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 406.89 = 207.48 : x
  2. Step 2: Convert to fraction form
    294.72/406.89 = 207.48/x
  3. Step 3: Cross multiply
    294.72x = 406.89 × 207.48
  4. Step 4: Simplify right side
    294.72x = 84,421.54
  5. Step 5: Solve for x
    x = 84,421.54/294.72
  6. Step 6: Final answer
    x = 286.45

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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.