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Finding the Fourth Proportional to 602.30, 831.20 and 340.34

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Solution

The fourth proportional to 602.30, 831.20 and 340.34 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 831.20 = 340.34 : x
  2. Step 2: Convert to fraction form
    602.30/831.20 = 340.34/x
  3. Step 3: Cross multiply
    602.30x = 831.20 × 340.34
  4. Step 4: Simplify right side
    602.30x = 282,890.61
  5. Step 5: Solve for x
    x = 282,890.61/602.30
  6. Step 6: Final answer
    x = 469.68

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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.