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Finding the Fourth Proportional to 464.12, 695.72 and 190.28

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Solution

The fourth proportional to 464.12, 695.72 and 190.28 is: 285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 695.72 = 190.28 : x
  2. Step 2: Convert to fraction form
    464.12/695.72 = 190.28/x
  3. Step 3: Cross multiply
    464.12x = 695.72 × 190.28
  4. Step 4: Simplify right side
    464.12x = 132,377.17
  5. Step 5: Solve for x
    x = 132,377.17/464.12
  6. Step 6: Final answer
    x = 285.22

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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.