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Finding the Fourth Proportional to 445.54, 614.93 and 296.17

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Solution

The fourth proportional to 445.54, 614.93 and 296.17 is: 408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.54 : 614.93 = 296.17 : x
  2. Step 2: Convert to fraction form
    445.54/614.93 = 296.17/x
  3. Step 3: Cross multiply
    445.54x = 614.93 × 296.17
  4. Step 4: Simplify right side
    445.54x = 182,123.82
  5. Step 5: Solve for x
    x = 182,123.82/445.54
  6. Step 6: Final answer
    x = 408.77

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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.