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Finding the Fourth Proportional to 476.10, 656.48 and 328.84

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Solution

The fourth proportional to 476.10, 656.48 and 328.84 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.10 : 656.48 = 328.84 : x
  2. Step 2: Convert to fraction form
    476.10/656.48 = 328.84/x
  3. Step 3: Cross multiply
    476.10x = 656.48 × 328.84
  4. Step 4: Simplify right side
    476.10x = 215,876.88
  5. Step 5: Solve for x
    x = 215,876.88/476.10
  6. Step 6: Final answer
    x = 453.43

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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.