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Finding the Fourth Proportional to 412.02, 617.46 and 229.50

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Solution

The fourth proportional to 412.02, 617.46 and 229.50 is: 343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 617.46 = 229.50 : x
  2. Step 2: Convert to fraction form
    412.02/617.46 = 229.50/x
  3. Step 3: Cross multiply
    412.02x = 617.46 × 229.50
  4. Step 4: Simplify right side
    412.02x = 141,707.07
  5. Step 5: Solve for x
    x = 141,707.07/412.02
  6. Step 6: Final answer
    x = 343.93

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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.