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Finding the Fourth Proportional to 475.88, 656.01 and 335.54

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Solution

The fourth proportional to 475.88, 656.01 and 335.54 is: 462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 656.01 = 335.54 : x
  2. Step 2: Convert to fraction form
    475.88/656.01 = 335.54/x
  3. Step 3: Cross multiply
    475.88x = 656.01 × 335.54
  4. Step 4: Simplify right side
    475.88x = 220,117.60
  5. Step 5: Solve for x
    x = 220,117.60/475.88
  6. Step 6: Final answer
    x = 462.55

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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.