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Finding the Fourth Proportional to 463.95, 696.02 and 233.06

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Solution

The fourth proportional to 463.95, 696.02 and 233.06 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.95 : 696.02 = 233.06 : x
  2. Step 2: Convert to fraction form
    463.95/696.02 = 233.06/x
  3. Step 3: Cross multiply
    463.95x = 696.02 × 233.06
  4. Step 4: Simplify right side
    463.95x = 162,209.78
  5. Step 5: Solve for x
    x = 162,209.78/463.95
  6. Step 6: Final answer
    x = 349.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.