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Finding the Fourth Proportional to 475.30, 655.82 and 423.06

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Solution

The fourth proportional to 475.30, 655.82 and 423.06 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.30 : 655.82 = 423.06 : x
  2. Step 2: Convert to fraction form
    475.30/655.82 = 423.06/x
  3. Step 3: Cross multiply
    475.30x = 655.82 × 423.06
  4. Step 4: Simplify right side
    475.30x = 277,451.21
  5. Step 5: Solve for x
    x = 277,451.21/475.30
  6. Step 6: Final answer
    x = 583.74

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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.