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Finding the Fourth Proportional to 621.64, 857.73 and 400.55

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Solution

The fourth proportional to 621.64, 857.73 and 400.55 is: 552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.64 : 857.73 = 400.55 : x
  2. Step 2: Convert to fraction form
    621.64/857.73 = 400.55/x
  3. Step 3: Cross multiply
    621.64x = 857.73 × 400.55
  4. Step 4: Simplify right side
    621.64x = 343,561.75
  5. Step 5: Solve for x
    x = 343,561.75/621.64
  6. Step 6: Final answer
    x = 552.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.