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Finding the Fourth Proportional to 557.72, 769.47 and 324.80

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Solution

The fourth proportional to 557.72, 769.47 and 324.80 is: 448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 769.47 = 324.80 : x
  2. Step 2: Convert to fraction form
    557.72/769.47 = 324.80/x
  3. Step 3: Cross multiply
    557.72x = 769.47 × 324.80
  4. Step 4: Simplify right side
    557.72x = 249,920.01
  5. Step 5: Solve for x
    x = 249,920.01/557.72
  6. Step 6: Final answer
    x = 448.11

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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.