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Finding the Fourth Proportional to 398.43, 549.32 and 300.02

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Solution

The fourth proportional to 398.43, 549.32 and 300.02 is: 413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.43 : 549.32 = 300.02 : x
  2. Step 2: Convert to fraction form
    398.43/549.32 = 300.02/x
  3. Step 3: Cross multiply
    398.43x = 549.32 × 300.02
  4. Step 4: Simplify right side
    398.43x = 164,802.74
  5. Step 5: Solve for x
    x = 164,802.74/398.43
  6. Step 6: Final answer
    x = 413.63

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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.