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Finding the Fourth Proportional to 445.94, 614.83 and 288.31

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Solution

The fourth proportional to 445.94, 614.83 and 288.31 is: 397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.94 : 614.83 = 288.31 : x
  2. Step 2: Convert to fraction form
    445.94/614.83 = 288.31/x
  3. Step 3: Cross multiply
    445.94x = 614.83 × 288.31
  4. Step 4: Simplify right side
    445.94x = 177,261.64
  5. Step 5: Solve for x
    x = 177,261.64/445.94
  6. Step 6: Final answer
    x = 397.50

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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.