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Finding the Fourth Proportional to 463.89, 696.05 and 190.05

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Solution

The fourth proportional to 463.89, 696.05 and 190.05 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 696.05 = 190.05 : x
  2. Step 2: Convert to fraction form
    463.89/696.05 = 190.05/x
  3. Step 3: Cross multiply
    463.89x = 696.05 × 190.05
  4. Step 4: Simplify right side
    463.89x = 132,284.30
  5. Step 5: Solve for x
    x = 132,284.30/463.89
  6. Step 6: Final answer
    x = 285.16

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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.