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Finding the Fourth Proportional to 463.88, 696.29 and 190.13

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Solution

The fourth proportional to 463.88, 696.29 and 190.13 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.88 : 696.29 = 190.13 : x
  2. Step 2: Convert to fraction form
    463.88/696.29 = 190.13/x
  3. Step 3: Cross multiply
    463.88x = 696.29 × 190.13
  4. Step 4: Simplify right side
    463.88x = 132,381.19
  5. Step 5: Solve for x
    x = 132,381.19/463.88
  6. Step 6: Final answer
    x = 285.38

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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.