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Finding the Fourth Proportional to 529.14, 730.24 and 293.10

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Solution

The fourth proportional to 529.14, 730.24 and 293.10 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 730.24 = 293.10 : x
  2. Step 2: Convert to fraction form
    529.14/730.24 = 293.10/x
  3. Step 3: Cross multiply
    529.14x = 730.24 × 293.10
  4. Step 4: Simplify right side
    529.14x = 214,033.34
  5. Step 5: Solve for x
    x = 214,033.34/529.14
  6. Step 6: Final answer
    x = 404.49

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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.