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Finding the Fourth Proportional to 601.44, 829.47 and 414.63

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Solution

The fourth proportional to 601.44, 829.47 and 414.63 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 829.47 = 414.63 : x
  2. Step 2: Convert to fraction form
    601.44/829.47 = 414.63/x
  3. Step 3: Cross multiply
    601.44x = 829.47 × 414.63
  4. Step 4: Simplify right side
    601.44x = 343,923.15
  5. Step 5: Solve for x
    x = 343,923.15/601.44
  6. Step 6: Final answer
    x = 571.83

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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.