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Finding the Fourth Proportional to 557.54, 769.29 and 336.50

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Solution

The fourth proportional to 557.54, 769.29 and 336.50 is: 464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.54 : 769.29 = 336.50 : x
  2. Step 2: Convert to fraction form
    557.54/769.29 = 336.50/x
  3. Step 3: Cross multiply
    557.54x = 769.29 × 336.50
  4. Step 4: Simplify right side
    557.54x = 258,868.01
  5. Step 5: Solve for x
    x = 258,868.01/557.54
  6. Step 6: Final answer
    x = 464.30

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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.