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Finding the Fourth Proportional to 557.19, 768.81 and 324.18

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Solution

The fourth proportional to 557.19, 768.81 and 324.18 is: 447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 768.81 = 324.18 : x
  2. Step 2: Convert to fraction form
    557.19/768.81 = 324.18/x
  3. Step 3: Cross multiply
    557.19x = 768.81 × 324.18
  4. Step 4: Simplify right side
    557.19x = 249,232.83
  5. Step 5: Solve for x
    x = 249,232.83/557.19
  6. Step 6: Final answer
    x = 447.30

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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.