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Finding the Fourth Proportional to 445.62, 614.36 and 312.66

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Solution

The fourth proportional to 445.62, 614.36 and 312.66 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.62 : 614.36 = 312.66 : x
  2. Step 2: Convert to fraction form
    445.62/614.36 = 312.66/x
  3. Step 3: Cross multiply
    445.62x = 614.36 × 312.66
  4. Step 4: Simplify right side
    445.62x = 192,084.23
  5. Step 5: Solve for x
    x = 192,084.23/445.62
  6. Step 6: Final answer
    x = 431.05

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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.