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Finding the Fourth Proportional to 475.05, 656.47 and 342.70

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Solution

The fourth proportional to 475.05, 656.47 and 342.70 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.05 : 656.47 = 342.70 : x
  2. Step 2: Convert to fraction form
    475.05/656.47 = 342.70/x
  3. Step 3: Cross multiply
    475.05x = 656.47 × 342.70
  4. Step 4: Simplify right side
    475.05x = 224,974.77
  5. Step 5: Solve for x
    x = 224,974.77/475.05
  6. Step 6: Final answer
    x = 473.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.