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Finding the Fourth Proportional to 602.42, 831.34 and 353.68

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Solution

The fourth proportional to 602.42, 831.34 and 353.68 is: 488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 831.34 = 353.68 : x
  2. Step 2: Convert to fraction form
    602.42/831.34 = 353.68/x
  3. Step 3: Cross multiply
    602.42x = 831.34 × 353.68
  4. Step 4: Simplify right side
    602.42x = 294,028.33
  5. Step 5: Solve for x
    x = 294,028.33/602.42
  6. Step 6: Final answer
    x = 488.08

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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.