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Finding the Fourth Proportional to 602.03, 831.40 and 416.00

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Solution

The fourth proportional to 602.03, 831.40 and 416.00 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.03 : 831.40 = 416.00 : x
  2. Step 2: Convert to fraction form
    602.03/831.40 = 416.00/x
  3. Step 3: Cross multiply
    602.03x = 831.40 × 416.00
  4. Step 4: Simplify right side
    602.03x = 345,863.44
  5. Step 5: Solve for x
    x = 345,863.44/602.03
  6. Step 6: Final answer
    x = 574.49

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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.