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Finding the Fourth Proportional to 464.11, 695.66 and 258.23

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Solution

The fourth proportional to 464.11, 695.66 and 258.23 is: 387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.11 : 695.66 = 258.23 : x
  2. Step 2: Convert to fraction form
    464.11/695.66 = 258.23/x
  3. Step 3: Cross multiply
    464.11x = 695.66 × 258.23
  4. Step 4: Simplify right side
    464.11x = 179,640.73
  5. Step 5: Solve for x
    x = 179,640.73/464.11
  6. Step 6: Final answer
    x = 387.07

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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.