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Finding the Fourth Proportional to 529.68, 730.82 and 305.56

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Solution

The fourth proportional to 529.68, 730.82 and 305.56 is: 421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 730.82 = 305.56 : x
  2. Step 2: Convert to fraction form
    529.68/730.82 = 305.56/x
  3. Step 3: Cross multiply
    529.68x = 730.82 × 305.56
  4. Step 4: Simplify right side
    529.68x = 223,309.36
  5. Step 5: Solve for x
    x = 223,309.36/529.68
  6. Step 6: Final answer
    x = 421.59

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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.