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Finding the Fourth Proportional to 294.84, 407.37 and 233.31

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Solution

The fourth proportional to 294.84, 407.37 and 233.31 is: 322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 407.37 = 233.31 : x
  2. Step 2: Convert to fraction form
    294.84/407.37 = 233.31/x
  3. Step 3: Cross multiply
    294.84x = 407.37 × 233.31
  4. Step 4: Simplify right side
    294.84x = 95,043.49
  5. Step 5: Solve for x
    x = 95,043.49/294.84
  6. Step 6: Final answer
    x = 322.36

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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.