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Finding the Fourth Proportional to 324.09, 483.14 and 298.17

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Solution

The fourth proportional to 324.09, 483.14 and 298.17 is: 444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 483.14 = 298.17 : x
  2. Step 2: Convert to fraction form
    324.09/483.14 = 298.17/x
  3. Step 3: Cross multiply
    324.09x = 483.14 × 298.17
  4. Step 4: Simplify right side
    324.09x = 144,058.60
  5. Step 5: Solve for x
    x = 144,058.60/324.09
  6. Step 6: Final answer
    x = 444.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.