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Finding the Fourth Proportional to 529.26, 730.41 and 398.04

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Solution

The fourth proportional to 529.26, 730.41 and 398.04 is: 549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.26 : 730.41 = 398.04 : x
  2. Step 2: Convert to fraction form
    529.26/730.41 = 398.04/x
  3. Step 3: Cross multiply
    529.26x = 730.41 × 398.04
  4. Step 4: Simplify right side
    529.26x = 290,732.40
  5. Step 5: Solve for x
    x = 290,732.40/529.26
  6. Step 6: Final answer
    x = 549.32

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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.