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Finding the Fourth Proportional to 602.02, 831.09 and 436.42

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Solution

The fourth proportional to 602.02, 831.09 and 436.42 is: 602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.02 : 831.09 = 436.42 : x
  2. Step 2: Convert to fraction form
    602.02/831.09 = 436.42/x
  3. Step 3: Cross multiply
    602.02x = 831.09 × 436.42
  4. Step 4: Simplify right side
    602.02x = 362,704.30
  5. Step 5: Solve for x
    x = 362,704.30/602.02
  6. Step 6: Final answer
    x = 602.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.