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Finding the Fourth Proportional to 404.34, 557.41 and 334.28

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Solution

The fourth proportional to 404.34, 557.41 and 334.28 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 557.41 = 334.28 : x
  2. Step 2: Convert to fraction form
    404.34/557.41 = 334.28/x
  3. Step 3: Cross multiply
    404.34x = 557.41 × 334.28
  4. Step 4: Simplify right side
    404.34x = 186,331.01
  5. Step 5: Solve for x
    x = 186,331.01/404.34
  6. Step 6: Final answer
    x = 460.83

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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.