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Finding the Fourth Proportional to 666.37, 919.31 and 397.13

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Solution

The fourth proportional to 666.37, 919.31 and 397.13 is: 547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 919.31 = 397.13 : x
  2. Step 2: Convert to fraction form
    666.37/919.31 = 397.13/x
  3. Step 3: Cross multiply
    666.37x = 919.31 × 397.13
  4. Step 4: Simplify right side
    666.37x = 365,085.58
  5. Step 5: Solve for x
    x = 365,085.58/666.37
  6. Step 6: Final answer
    x = 547.87

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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.