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Finding the Fourth Proportional to 975.45, 1,463.17 and 398.32

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Solution

The fourth proportional to 975.45, 1,463.17 and 398.32 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,463.17 = 398.32 : x
  2. Step 2: Convert to fraction form
    975.45/1,463.17 = 398.32/x
  3. Step 3: Cross multiply
    975.45x = 1,463.17 × 398.32
  4. Step 4: Simplify right side
    975.45x = 582,810.08
  5. Step 5: Solve for x
    x = 582,810.08/975.45
  6. Step 6: Final answer
    x = 597.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.