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Finding the Fourth Proportional to 556.99, 769.23 and 434.11

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Solution

The fourth proportional to 556.99, 769.23 and 434.11 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.99 : 769.23 = 434.11 : x
  2. Step 2: Convert to fraction form
    556.99/769.23 = 434.11/x
  3. Step 3: Cross multiply
    556.99x = 769.23 × 434.11
  4. Step 4: Simplify right side
    556.99x = 333,930.44
  5. Step 5: Solve for x
    x = 333,930.44/556.99
  6. Step 6: Final answer
    x = 599.53

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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.