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Finding the Fourth Proportional to 324.19, 446.68 and 258.58

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Solution

The fourth proportional to 324.19, 446.68 and 258.58 is: 356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.19 : 446.68 = 258.58 : x
  2. Step 2: Convert to fraction form
    324.19/446.68 = 258.58/x
  3. Step 3: Cross multiply
    324.19x = 446.68 × 258.58
  4. Step 4: Simplify right side
    324.19x = 115,502.51
  5. Step 5: Solve for x
    x = 115,502.51/324.19
  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.