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Finding the Fourth Proportional to 602.92, 831.67 and 366.70

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Solution

The fourth proportional to 602.92, 831.67 and 366.70 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.92 : 831.67 = 366.70 : x
  2. Step 2: Convert to fraction form
    602.92/831.67 = 366.70/x
  3. Step 3: Cross multiply
    602.92x = 831.67 × 366.70
  4. Step 4: Simplify right side
    602.92x = 304,973.39
  5. Step 5: Solve for x
    x = 304,973.39/602.92
  6. Step 6: Final answer
    x = 505.83

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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.