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Finding the Fourth Proportional to 557.28, 769.14 and 336.24

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Solution

The fourth proportional to 557.28, 769.14 and 336.24 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 769.14 = 336.24 : x
  2. Step 2: Convert to fraction form
    557.28/769.14 = 336.24/x
  3. Step 3: Cross multiply
    557.28x = 769.14 × 336.24
  4. Step 4: Simplify right side
    557.28x = 258,615.63
  5. Step 5: Solve for x
    x = 258,615.63/557.28
  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.