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Finding the Fourth Proportional to 621.79, 857.95 and 422.78

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Solution

The fourth proportional to 621.79, 857.95 and 422.78 is: 583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.79 : 857.95 = 422.78 : x
  2. Step 2: Convert to fraction form
    621.79/857.95 = 422.78/x
  3. Step 3: Cross multiply
    621.79x = 857.95 × 422.78
  4. Step 4: Simplify right side
    621.79x = 362,718.75
  5. Step 5: Solve for x
    x = 362,718.75/621.79
  6. Step 6: Final answer
    x = 583.35

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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.