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Finding the Fourth Proportional to 621.64, 856.92 and 474.02

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Solution

The fourth proportional to 621.64, 856.92 and 474.02 is: 653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.64 : 856.92 = 474.02 : x
  2. Step 2: Convert to fraction form
    621.64/856.92 = 474.02/x
  3. Step 3: Cross multiply
    621.64x = 856.92 × 474.02
  4. Step 4: Simplify right side
    621.64x = 406,197.22
  5. Step 5: Solve for x
    x = 406,197.22/621.64
  6. Step 6: Final answer
    x = 653.43

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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.