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Finding the Fourth Proportional to 614.88, 920.64 and 441.12

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Solution

The fourth proportional to 614.88, 920.64 and 441.12 is: 660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.88 : 920.64 = 441.12 : x
  2. Step 2: Convert to fraction form
    614.88/920.64 = 441.12/x
  3. Step 3: Cross multiply
    614.88x = 920.64 × 441.12
  4. Step 4: Simplify right side
    614.88x = 406,112.72
  5. Step 5: Solve for x
    x = 406,112.72/614.88
  6. Step 6: Final answer
    x = 660.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.