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Finding the Fourth Proportional to 529.10, 730.17 and 293.04

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Solution

The fourth proportional to 529.10, 730.17 and 293.04 is: 404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 730.17 = 293.04 : x
  2. Step 2: Convert to fraction form
    529.10/730.17 = 293.04/x
  3. Step 3: Cross multiply
    529.10x = 730.17 × 293.04
  4. Step 4: Simplify right side
    529.10x = 213,969.29
  5. Step 5: Solve for x
    x = 213,969.29/529.10
  6. Step 6: Final answer
    x = 404.40

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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.