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Finding the Fourth Proportional to 602.75, 831.58 and 366.60

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Solution

The fourth proportional to 602.75, 831.58 and 366.60 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.75 : 831.58 = 366.60 : x
  2. Step 2: Convert to fraction form
    602.75/831.58 = 366.60/x
  3. Step 3: Cross multiply
    602.75x = 831.58 × 366.60
  4. Step 4: Simplify right side
    602.75x = 304,859.43
  5. Step 5: Solve for x
    x = 304,859.43/602.75
  6. Step 6: Final answer
    x = 505.78

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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.