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Finding the Fourth Proportional to 529.18, 730.22 and 296.26

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Solution

The fourth proportional to 529.18, 730.22 and 296.26 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.18 : 730.22 = 296.26 : x
  2. Step 2: Convert to fraction form
    529.18/730.22 = 296.26/x
  3. Step 3: Cross multiply
    529.18x = 730.22 × 296.26
  4. Step 4: Simplify right side
    529.18x = 216,334.98
  5. Step 5: Solve for x
    x = 216,334.98/529.18
  6. Step 6: Final answer
    x = 408.81

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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.