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Finding the Fourth Proportional to 621.32, 857.76 and 425.12

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Solution

The fourth proportional to 621.32, 857.76 and 425.12 is: 586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.32 : 857.76 = 425.12 : x
  2. Step 2: Convert to fraction form
    621.32/857.76 = 425.12/x
  3. Step 3: Cross multiply
    621.32x = 857.76 × 425.12
  4. Step 4: Simplify right side
    621.32x = 364,650.93
  5. Step 5: Solve for x
    x = 364,650.93/621.32
  6. Step 6: Final answer
    x = 586.90

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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.