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Finding the Fourth Proportional to 528.46, 729.24 and 295.54

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Solution

The fourth proportional to 528.46, 729.24 and 295.54 is: 407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.46 : 729.24 = 295.54 : x
  2. Step 2: Convert to fraction form
    528.46/729.24 = 295.54/x
  3. Step 3: Cross multiply
    528.46x = 729.24 × 295.54
  4. Step 4: Simplify right side
    528.46x = 215,519.59
  5. Step 5: Solve for x
    x = 215,519.59/528.46
  6. Step 6: Final answer
    x = 407.83

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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.