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Finding the Fourth Proportional to 602.49, 831.39 and 340.46

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Solution

The fourth proportional to 602.49, 831.39 and 340.46 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.49 : 831.39 = 340.46 : x
  2. Step 2: Convert to fraction form
    602.49/831.39 = 340.46/x
  3. Step 3: Cross multiply
    602.49x = 831.39 × 340.46
  4. Step 4: Simplify right side
    602.49x = 283,050.88
  5. Step 5: Solve for x
    x = 283,050.88/602.49
  6. Step 6: Final answer
    x = 469.80

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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.