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Finding the Fourth Proportional to 602.73, 831.63 and 366.80

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Solution

The fourth proportional to 602.73, 831.63 and 366.80 is: 506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.73 : 831.63 = 366.80 : x
  2. Step 2: Convert to fraction form
    602.73/831.63 = 366.80/x
  3. Step 3: Cross multiply
    602.73x = 831.63 × 366.80
  4. Step 4: Simplify right side
    602.73x = 305,038.60
  5. Step 5: Solve for x
    x = 305,038.60/602.73
  6. Step 6: Final answer
    x = 506.10

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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.