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Finding the Fourth Proportional to 552.58, 828.90 and 400.37

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Solution

The fourth proportional to 552.58, 828.90 and 400.37 is: 600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.58 : 828.90 = 400.37 : x
  2. Step 2: Convert to fraction form
    552.58/828.90 = 400.37/x
  3. Step 3: Cross multiply
    552.58x = 828.90 × 400.37
  4. Step 4: Simplify right side
    552.58x = 331,862.55
  5. Step 5: Solve for x
    x = 331,862.55/552.58
  6. Step 6: Final answer
    x = 600.57

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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.