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Finding the Fourth Proportional to 665.64, 919.80 and 534.24

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Solution

The fourth proportional to 665.64, 919.80 and 534.24 is: 738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 919.80 = 534.24 : x
  2. Step 2: Convert to fraction form
    665.64/919.80 = 534.24/x
  3. Step 3: Cross multiply
    665.64x = 919.80 × 534.24
  4. Step 4: Simplify right side
    665.64x = 491,393.95
  5. Step 5: Solve for x
    x = 491,393.95/665.64
  6. Step 6: Final answer
    x = 738.23

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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.