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Finding the Fourth Proportional to 557.32, 769.14 and 336.20

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Solution

The fourth proportional to 557.32, 769.14 and 336.20 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.32 : 769.14 = 336.20 : x
  2. Step 2: Convert to fraction form
    557.32/769.14 = 336.20/x
  3. Step 3: Cross multiply
    557.32x = 769.14 × 336.20
  4. Step 4: Simplify right side
    557.32x = 258,584.87
  5. Step 5: Solve for x
    x = 258,584.87/557.32
  6. Step 6: Final answer
    x = 463.98

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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.