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Finding the Fourth Proportional to 529.09, 730.16 and 293.05

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Solution

The fourth proportional to 529.09, 730.16 and 293.05 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.09 : 730.16 = 293.05 : x
  2. Step 2: Convert to fraction form
    529.09/730.16 = 293.05/x
  3. Step 3: Cross multiply
    529.09x = 730.16 × 293.05
  4. Step 4: Simplify right side
    529.09x = 213,970.10
  5. Step 5: Solve for x
    x = 213,970.10/529.09
  6. Step 6: Final answer
    x = 404.41

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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.