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Finding the Fourth Proportional to 613.94, 920.05 and 476.35

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Solution

The fourth proportional to 613.94, 920.05 and 476.35 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.94 : 920.05 = 476.35 : x
  2. Step 2: Convert to fraction form
    613.94/920.05 = 476.35/x
  3. Step 3: Cross multiply
    613.94x = 920.05 × 476.35
  4. Step 4: Simplify right side
    613.94x = 438,265.82
  5. Step 5: Solve for x
    x = 438,265.82/613.94
  6. Step 6: Final answer
    x = 713.86

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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.