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Finding the Fourth Proportional to 404.34, 557.37 and 330.90

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Solution

The fourth proportional to 404.34, 557.37 and 330.90 is: 456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 557.37 = 330.90 : x
  2. Step 2: Convert to fraction form
    404.34/557.37 = 330.90/x
  3. Step 3: Cross multiply
    404.34x = 557.37 × 330.90
  4. Step 4: Simplify right side
    404.34x = 184,433.73
  5. Step 5: Solve for x
    x = 184,433.73/404.34
  6. Step 6: Final answer
    x = 456.14

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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.