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Finding the Fourth Proportional to 602.71, 831.75 and 340.75

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Solution

The fourth proportional to 602.71, 831.75 and 340.75 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.71 : 831.75 = 340.75 : x
  2. Step 2: Convert to fraction form
    602.71/831.75 = 340.75/x
  3. Step 3: Cross multiply
    602.71x = 831.75 × 340.75
  4. Step 4: Simplify right side
    602.71x = 283,418.81
  5. Step 5: Solve for x
    x = 283,418.81/602.71
  6. Step 6: Final answer
    x = 470.24

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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.