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Finding the Fourth Proportional to 602.86, 831.81 and 340.78

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Solution

The fourth proportional to 602.86, 831.81 and 340.78 is: 470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 831.81 = 340.78 : x
  2. Step 2: Convert to fraction form
    602.86/831.81 = 340.78/x
  3. Step 3: Cross multiply
    602.86x = 831.81 × 340.78
  4. Step 4: Simplify right side
    602.86x = 283,464.21
  5. Step 5: Solve for x
    x = 283,464.21/602.86
  6. Step 6: Final answer
    x = 470.20

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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.