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Finding the Fourth Proportional to 529.72, 730.96 and 308.63

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Solution

The fourth proportional to 529.72, 730.96 and 308.63 is: 425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 730.96 = 308.63 : x
  2. Step 2: Convert to fraction form
    529.72/730.96 = 308.63/x
  3. Step 3: Cross multiply
    529.72x = 730.96 × 308.63
  4. Step 4: Simplify right side
    529.72x = 225,597.24
  5. Step 5: Solve for x
    x = 225,597.24/529.72
  6. Step 6: Final answer
    x = 425.88

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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.