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Finding the Fourth Proportional to 463.77, 695.41 and 258.03

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Solution

The fourth proportional to 463.77, 695.41 and 258.03 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.77 : 695.41 = 258.03 : x
  2. Step 2: Convert to fraction form
    463.77/695.41 = 258.03/x
  3. Step 3: Cross multiply
    463.77x = 695.41 × 258.03
  4. Step 4: Simplify right side
    463.77x = 179,436.64
  5. Step 5: Solve for x
    x = 179,436.64/463.77
  6. Step 6: Final answer
    x = 386.91

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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.