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Finding the Fourth Proportional to 664.64, 918.06 and 506.30

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Solution

The fourth proportional to 664.64, 918.06 and 506.30 is: 699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 918.06 = 506.30 : x
  2. Step 2: Convert to fraction form
    664.64/918.06 = 506.30/x
  3. Step 3: Cross multiply
    664.64x = 918.06 × 506.30
  4. Step 4: Simplify right side
    664.64x = 464,816.07
  5. Step 5: Solve for x
    x = 464,816.07/664.64
  6. Step 6: Final answer
    x = 699.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.