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Finding the Fourth Proportional to 557.30, 769.23 and 336.21

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Solution

The fourth proportional to 557.30, 769.23 and 336.21 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 769.23 = 336.21 : x
  2. Step 2: Convert to fraction form
    557.30/769.23 = 336.21/x
  3. Step 3: Cross multiply
    557.30x = 769.23 × 336.21
  4. Step 4: Simplify right side
    557.30x = 258,622.82
  5. Step 5: Solve for x
    x = 258,622.82/557.30
  6. Step 6: Final answer
    x = 464.07

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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.