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Finding the Fourth Proportional to 293.10, 403.62 and 237.42

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Solution

The fourth proportional to 293.10, 403.62 and 237.42 is: 326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 403.62 = 237.42 : x
  2. Step 2: Convert to fraction form
    293.10/403.62 = 237.42/x
  3. Step 3: Cross multiply
    293.10x = 403.62 × 237.42
  4. Step 4: Simplify right side
    293.10x = 95,827.46
  5. Step 5: Solve for x
    x = 95,827.46/293.10
  6. Step 6: Final answer
    x = 326.94

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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.