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Finding the Fourth Proportional to 601.40, 829.41 and 404.90

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Solution

The fourth proportional to 601.40, 829.41 and 404.90 is: 558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.40 : 829.41 = 404.90 : x
  2. Step 2: Convert to fraction form
    601.40/829.41 = 404.90/x
  3. Step 3: Cross multiply
    601.40x = 829.41 × 404.90
  4. Step 4: Simplify right side
    601.40x = 335,828.11
  5. Step 5: Solve for x
    x = 335,828.11/601.40
  6. Step 6: Final answer
    x = 558.41

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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.