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Finding the Fourth Proportional to 601.62, 829.86 and 405.06

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Solution

The fourth proportional to 601.62, 829.86 and 405.06 is: 558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 829.86 = 405.06 : x
  2. Step 2: Convert to fraction form
    601.62/829.86 = 405.06/x
  3. Step 3: Cross multiply
    601.62x = 829.86 × 405.06
  4. Step 4: Simplify right side
    601.62x = 336,143.09
  5. Step 5: Solve for x
    x = 336,143.09/601.62
  6. Step 6: Final answer
    x = 558.73

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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.