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Finding the Fourth Proportional to 312.88, 471.05 and 284.32

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Solution

The fourth proportional to 312.88, 471.05 and 284.32 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 471.05 = 284.32 : x
  2. Step 2: Convert to fraction form
    312.88/471.05 = 284.32/x
  3. Step 3: Cross multiply
    312.88x = 471.05 × 284.32
  4. Step 4: Simplify right side
    312.88x = 133,928.94
  5. Step 5: Solve for x
    x = 133,928.94/312.88
  6. Step 6: Final answer
    x = 428.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.