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Finding the Fourth Proportional to 529.24, 730.20 and 319.37

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Solution

The fourth proportional to 529.24, 730.20 and 319.37 is: 440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.24 : 730.20 = 319.37 : x
  2. Step 2: Convert to fraction form
    529.24/730.20 = 319.37/x
  3. Step 3: Cross multiply
    529.24x = 730.20 × 319.37
  4. Step 4: Simplify right side
    529.24x = 233,203.97
  5. Step 5: Solve for x
    x = 233,203.97/529.24
  6. Step 6: Final answer
    x = 440.64

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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.