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Finding the Fourth Proportional to 602.74, 831.53 and 366.60

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Solution

The fourth proportional to 602.74, 831.53 and 366.60 is: 505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.74 : 831.53 = 366.60 : x
  2. Step 2: Convert to fraction form
    602.74/831.53 = 366.60/x
  3. Step 3: Cross multiply
    602.74x = 831.53 × 366.60
  4. Step 4: Simplify right side
    602.74x = 304,837.07
  5. Step 5: Solve for x
    x = 304,837.07/602.74
  6. Step 6: Final answer
    x = 505.76

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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.