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Finding the Fourth Proportional to 529.25, 730.37 and 293.19

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Solution

The fourth proportional to 529.25, 730.37 and 293.19 is: 404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.25 : 730.37 = 293.19 : x
  2. Step 2: Convert to fraction form
    529.25/730.37 = 293.19/x
  3. Step 3: Cross multiply
    529.25x = 730.37 × 293.19
  4. Step 4: Simplify right side
    529.25x = 214,135.71
  5. Step 5: Solve for x
    x = 214,135.71/529.25
  6. Step 6: Final answer
    x = 404.61

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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.