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Finding the Fourth Proportional to 445.79, 614.59 and 312.83

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Solution

The fourth proportional to 445.79, 614.59 and 312.83 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.79 : 614.59 = 312.83 : x
  2. Step 2: Convert to fraction form
    445.79/614.59 = 312.83/x
  3. Step 3: Cross multiply
    445.79x = 614.59 × 312.83
  4. Step 4: Simplify right side
    445.79x = 192,262.19
  5. Step 5: Solve for x
    x = 192,262.19/445.79
  6. Step 6: Final answer
    x = 431.28

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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.