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Finding the Fourth Proportional to 529.15, 730.20 and 293.09

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Solution

The fourth proportional to 529.15, 730.20 and 293.09 is: 404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.15 : 730.20 = 293.09 : x
  2. Step 2: Convert to fraction form
    529.15/730.20 = 293.09/x
  3. Step 3: Cross multiply
    529.15x = 730.20 × 293.09
  4. Step 4: Simplify right side
    529.15x = 214,014.32
  5. Step 5: Solve for x
    x = 214,014.32/529.15
  6. Step 6: Final answer
    x = 404.45

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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.