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Finding the Fourth Proportional to 665.31, 919.04 and 534.15

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Solution

The fourth proportional to 665.31, 919.04 and 534.15 is: 737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.31 : 919.04 = 534.15 : x
  2. Step 2: Convert to fraction form
    665.31/919.04 = 534.15/x
  3. Step 3: Cross multiply
    665.31x = 919.04 × 534.15
  4. Step 4: Simplify right side
    665.31x = 490,902.55
  5. Step 5: Solve for x
    x = 490,902.55/665.31
  6. Step 6: Final answer
    x = 737.86

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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.