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Finding the Fourth Proportional to 476.10, 656.01 and 343.17

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Solution

The fourth proportional to 476.10, 656.01 and 343.17 is: 472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.10 : 656.01 = 343.17 : x
  2. Step 2: Convert to fraction form
    476.10/656.01 = 343.17/x
  3. Step 3: Cross multiply
    476.10x = 656.01 × 343.17
  4. Step 4: Simplify right side
    476.10x = 225,122.95
  5. Step 5: Solve for x
    x = 225,122.95/476.10
  6. Step 6: Final answer
    x = 472.85

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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.