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Finding the Fourth Proportional to 622.08, 857.85 and 423.06

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Solution

The fourth proportional to 622.08, 857.85 and 423.06 is: 583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 857.85 = 423.06 : x
  2. Step 2: Convert to fraction form
    622.08/857.85 = 423.06/x
  3. Step 3: Cross multiply
    622.08x = 857.85 × 423.06
  4. Step 4: Simplify right side
    622.08x = 362,922.02
  5. Step 5: Solve for x
    x = 362,922.02/622.08
  6. Step 6: Final answer
    x = 583.40

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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.