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Finding the Fourth Proportional to 291.61, 402.65 and 233.65

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Solution

The fourth proportional to 291.61, 402.65 and 233.65 is: 322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.61 : 402.65 = 233.65 : x
  2. Step 2: Convert to fraction form
    291.61/402.65 = 233.65/x
  3. Step 3: Cross multiply
    291.61x = 402.65 × 233.65
  4. Step 4: Simplify right side
    291.61x = 94,078.75
  5. Step 5: Solve for x
    x = 94,078.75/291.61
  6. Step 6: Final answer
    x = 322.62

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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.