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Finding the Fourth Proportional to 529.22, 730.35 and 293.17

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Solution

The fourth proportional to 529.22, 730.35 and 293.17 is: 404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.22 : 730.35 = 293.17 : x
  2. Step 2: Convert to fraction form
    529.22/730.35 = 293.17/x
  3. Step 3: Cross multiply
    529.22x = 730.35 × 293.17
  4. Step 4: Simplify right side
    529.22x = 214,119.91
  5. Step 5: Solve for x
    x = 214,119.91/529.22
  6. Step 6: Final answer
    x = 404.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.