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Finding the Fourth Proportional to 476.11, 656.78 and 336.00

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Solution

The fourth proportional to 476.11, 656.78 and 336.00 is: 463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.11 : 656.78 = 336.00 : x
  2. Step 2: Convert to fraction form
    476.11/656.78 = 336.00/x
  3. Step 3: Cross multiply
    476.11x = 656.78 × 336.00
  4. Step 4: Simplify right side
    476.11x = 220,682.16
  5. Step 5: Solve for x
    x = 220,682.16/476.11
  6. Step 6: Final answer
    x = 463.51

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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.