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Finding the Fourth Proportional to 294.37, 444.14 and 291.94

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Solution

The fourth proportional to 294.37, 444.14 and 291.94 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.37 : 444.14 = 291.94 : x
  2. Step 2: Convert to fraction form
    294.37/444.14 = 291.94/x
  3. Step 3: Cross multiply
    294.37x = 444.14 × 291.94
  4. Step 4: Simplify right side
    294.37x = 129,662.23
  5. Step 5: Solve for x
    x = 129,662.23/294.37
  6. Step 6: Final answer
    x = 440.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.