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Finding the Fourth Proportional to 611.64, 917.51 and 246.51

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Solution

The fourth proportional to 611.64, 917.51 and 246.51 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 917.51 = 246.51 : x
  2. Step 2: Convert to fraction form
    611.64/917.51 = 246.51/x
  3. Step 3: Cross multiply
    611.64x = 917.51 × 246.51
  4. Step 4: Simplify right side
    611.64x = 226,174.16
  5. Step 5: Solve for x
    x = 226,174.16/611.64
  6. Step 6: Final answer
    x = 369.78

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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.