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Finding the Fourth Proportional to 600.91, 829.40 and 404.99

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Solution

The fourth proportional to 600.91, 829.40 and 404.99 is: 558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 829.40 = 404.99 : x
  2. Step 2: Convert to fraction form
    600.91/829.40 = 404.99/x
  3. Step 3: Cross multiply
    600.91x = 829.40 × 404.99
  4. Step 4: Simplify right side
    600.91x = 335,898.71
  5. Step 5: Solve for x
    x = 335,898.71/600.91
  6. Step 6: Final answer
    x = 558.98

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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.