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Finding the Fourth Proportional to 404.91, 559.04 and 288.27

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Solution

The fourth proportional to 404.91, 559.04 and 288.27 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.91 : 559.04 = 288.27 : x
  2. Step 2: Convert to fraction form
    404.91/559.04 = 288.27/x
  3. Step 3: Cross multiply
    404.91x = 559.04 × 288.27
  4. Step 4: Simplify right side
    404.91x = 161,153.02
  5. Step 5: Solve for x
    x = 161,153.02/404.91
  6. Step 6: Final answer
    x = 398.00

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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.