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Finding the Fourth Proportional to 416.17, 622.93 and 233.02

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Solution

The fourth proportional to 416.17, 622.93 and 233.02 is: 348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 622.93 = 233.02 : x
  2. Step 2: Convert to fraction form
    416.17/622.93 = 233.02/x
  3. Step 3: Cross multiply
    416.17x = 622.93 × 233.02
  4. Step 4: Simplify right side
    416.17x = 145,155.15
  5. Step 5: Solve for x
    x = 145,155.15/416.17
  6. Step 6: Final answer
    x = 348.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.