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Finding the Fourth Proportional to 602.38, 831.27 and 340.39

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Solution

The fourth proportional to 602.38, 831.27 and 340.39 is: 469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.38 : 831.27 = 340.39 : x
  2. Step 2: Convert to fraction form
    602.38/831.27 = 340.39/x
  3. Step 3: Cross multiply
    602.38x = 831.27 × 340.39
  4. Step 4: Simplify right side
    602.38x = 282,956.00
  5. Step 5: Solve for x
    x = 282,956.00/602.38
  6. Step 6: Final answer
    x = 469.73

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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.