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Finding the Fourth Proportional to 404.66, 557.96 and 330.76

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Solution

The fourth proportional to 404.66, 557.96 and 330.76 is: 456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 557.96 = 330.76 : x
  2. Step 2: Convert to fraction form
    404.66/557.96 = 330.76/x
  3. Step 3: Cross multiply
    404.66x = 557.96 × 330.76
  4. Step 4: Simplify right side
    404.66x = 184,550.85
  5. Step 5: Solve for x
    x = 184,550.85/404.66
  6. Step 6: Final answer
    x = 456.06

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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.