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Finding the Fourth Proportional to 602.79, 831.82 and 340.81

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Solution

The fourth proportional to 602.79, 831.82 and 340.81 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.79 : 831.82 = 340.81 : x
  2. Step 2: Convert to fraction form
    602.79/831.82 = 340.81/x
  3. Step 3: Cross multiply
    602.79x = 831.82 × 340.81
  4. Step 4: Simplify right side
    602.79x = 283,490.28
  5. Step 5: Solve for x
    x = 283,490.28/602.79
  6. Step 6: Final answer
    x = 470.30

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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.