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Finding the Fourth Proportional to 475.58, 712.63 and 312.91

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Solution

The fourth proportional to 475.58, 712.63 and 312.91 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.58 : 712.63 = 312.91 : x
  2. Step 2: Convert to fraction form
    475.58/712.63 = 312.91/x
  3. Step 3: Cross multiply
    475.58x = 712.63 × 312.91
  4. Step 4: Simplify right side
    475.58x = 222,989.05
  5. Step 5: Solve for x
    x = 222,989.05/475.58
  6. Step 6: Final answer
    x = 468.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.