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Finding the Fourth Proportional to 475.25, 656.66 and 342.21

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Solution

The fourth proportional to 475.25, 656.66 and 342.21 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.25 : 656.66 = 342.21 : x
  2. Step 2: Convert to fraction form
    475.25/656.66 = 342.21/x
  3. Step 3: Cross multiply
    475.25x = 656.66 × 342.21
  4. Step 4: Simplify right side
    475.25x = 224,715.62
  5. Step 5: Solve for x
    x = 224,715.62/475.25
  6. Step 6: Final answer
    x = 472.84

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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.