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Finding the Fourth Proportional to 612.42, 918.09 and 247.14

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Solution

The fourth proportional to 612.42, 918.09 and 247.14 is: 370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.42 : 918.09 = 247.14 : x
  2. Step 2: Convert to fraction form
    612.42/918.09 = 247.14/x
  3. Step 3: Cross multiply
    612.42x = 918.09 × 247.14
  4. Step 4: Simplify right side
    612.42x = 226,896.76
  5. Step 5: Solve for x
    x = 226,896.76/612.42
  6. Step 6: Final answer
    x = 370.49

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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.