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Finding the Fourth Proportional to 552.32, 761.94 and 319.31

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Solution

The fourth proportional to 552.32, 761.94 and 319.31 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.32 : 761.94 = 319.31 : x
  2. Step 2: Convert to fraction form
    552.32/761.94 = 319.31/x
  3. Step 3: Cross multiply
    552.32x = 761.94 × 319.31
  4. Step 4: Simplify right side
    552.32x = 243,296.97
  5. Step 5: Solve for x
    x = 243,296.97/552.32
  6. Step 6: Final answer
    x = 440.50

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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.