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Finding the Fourth Proportional to 475.84, 656.85 and 310.06

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Solution

The fourth proportional to 475.84, 656.85 and 310.06 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 656.85 = 310.06 : x
  2. Step 2: Convert to fraction form
    475.84/656.85 = 310.06/x
  3. Step 3: Cross multiply
    475.84x = 656.85 × 310.06
  4. Step 4: Simplify right side
    475.84x = 203,662.91
  5. Step 5: Solve for x
    x = 203,662.91/475.84
  6. Step 6: Final answer
    x = 428.01

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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.