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Finding the Fourth Proportional to 529.24, 730.20 and 441.76

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Solution

The fourth proportional to 529.24, 730.20 and 441.76 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.24 : 730.20 = 441.76 : x
  2. Step 2: Convert to fraction form
    529.24/730.20 = 441.76/x
  3. Step 3: Cross multiply
    529.24x = 730.20 × 441.76
  4. Step 4: Simplify right side
    529.24x = 322,573.15
  5. Step 5: Solve for x
    x = 322,573.15/529.24
  6. Step 6: Final answer
    x = 609.50

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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.