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Finding the Fourth Proportional to 601.62, 831.24 and 455.82

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Solution

The fourth proportional to 601.62, 831.24 and 455.82 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 831.24 = 455.82 : x
  2. Step 2: Convert to fraction form
    601.62/831.24 = 455.82/x
  3. Step 3: Cross multiply
    601.62x = 831.24 × 455.82
  4. Step 4: Simplify right side
    601.62x = 378,895.82
  5. Step 5: Solve for x
    x = 378,895.82/601.62
  6. Step 6: Final answer
    x = 629.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.