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Finding the Fourth Proportional to 602.66, 831.11 and 405.83

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Solution

The fourth proportional to 602.66, 831.11 and 405.83 is: 559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 831.11 = 405.83 : x
  2. Step 2: Convert to fraction form
    602.66/831.11 = 405.83/x
  3. Step 3: Cross multiply
    602.66x = 831.11 × 405.83
  4. Step 4: Simplify right side
    602.66x = 337,283.19
  5. Step 5: Solve for x
    x = 337,283.19/602.66
  6. Step 6: Final answer
    x = 559.66

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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.