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Finding the Fourth Proportional to 614.45, 920.32 and 476.41

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Solution

The fourth proportional to 614.45, 920.32 and 476.41 is: 713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.45 : 920.32 = 476.41 : x
  2. Step 2: Convert to fraction form
    614.45/920.32 = 476.41/x
  3. Step 3: Cross multiply
    614.45x = 920.32 × 476.41
  4. Step 4: Simplify right side
    614.45x = 438,449.65
  5. Step 5: Solve for x
    x = 438,449.65/614.45
  6. Step 6: Final answer
    x = 713.56

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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.