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Finding the Fourth Proportional to 557.14, 769.02 and 380.02

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Solution

The fourth proportional to 557.14, 769.02 and 380.02 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.14 : 769.02 = 380.02 : x
  2. Step 2: Convert to fraction form
    557.14/769.02 = 380.02/x
  3. Step 3: Cross multiply
    557.14x = 769.02 × 380.02
  4. Step 4: Simplify right side
    557.14x = 292,242.98
  5. Step 5: Solve for x
    x = 292,242.98/557.14
  6. Step 6: Final answer
    x = 524.54

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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.