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Finding the Fourth Proportional to 730.06, 1,007.52 and 398.50

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Solution

The fourth proportional to 730.06, 1,007.52 and 398.50 is: 549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.06 : 1,007.52 = 398.50 : x
  2. Step 2: Convert to fraction form
    730.06/1,007.52 = 398.50/x
  3. Step 3: Cross multiply
    730.06x = 1,007.52 × 398.50
  4. Step 4: Simplify right side
    730.06x = 401,496.72
  5. Step 5: Solve for x
    x = 401,496.72/730.06
  6. Step 6: Final answer
    x = 549.95

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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.