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Finding the Fourth Proportional to 552.76, 828.98 and 398.22

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Solution

The fourth proportional to 552.76, 828.98 and 398.22 is: 597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 828.98 = 398.22 : x
  2. Step 2: Convert to fraction form
    552.76/828.98 = 398.22/x
  3. Step 3: Cross multiply
    552.76x = 828.98 × 398.22
  4. Step 4: Simplify right side
    552.76x = 330,116.42
  5. Step 5: Solve for x
    x = 330,116.42/552.76
  6. Step 6: Final answer
    x = 597.21

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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.