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Finding the Fourth Proportional to 467.99, 645.84 and 258.17

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Solution

The fourth proportional to 467.99, 645.84 and 258.17 is: 356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 645.84 = 258.17 : x
  2. Step 2: Convert to fraction form
    467.99/645.84 = 258.17/x
  3. Step 3: Cross multiply
    467.99x = 645.84 × 258.17
  4. Step 4: Simplify right side
    467.99x = 166,736.51
  5. Step 5: Solve for x
    x = 166,736.51/467.99
  6. Step 6: Final answer
    x = 356.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.