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Finding the Fourth Proportional to 475.64, 656.60 and 345.22

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Solution

The fourth proportional to 475.64, 656.60 and 345.22 is: 476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 656.60 = 345.22 : x
  2. Step 2: Convert to fraction form
    475.64/656.60 = 345.22/x
  3. Step 3: Cross multiply
    475.64x = 656.60 × 345.22
  4. Step 4: Simplify right side
    475.64x = 226,671.45
  5. Step 5: Solve for x
    x = 226,671.45/475.64
  6. Step 6: Final answer
    x = 476.56

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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.