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Finding the Fourth Proportional to 475.84, 656.88 and 310.28

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Solution

The fourth proportional to 475.84, 656.88 and 310.28 is: 428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 656.88 = 310.28 : x
  2. Step 2: Convert to fraction form
    475.84/656.88 = 310.28/x
  3. Step 3: Cross multiply
    475.84x = 656.88 × 310.28
  4. Step 4: Simplify right side
    475.84x = 203,816.73
  5. Step 5: Solve for x
    x = 203,816.73/475.84
  6. Step 6: Final answer
    x = 428.33

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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.