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Finding the Fourth Proportional to 730.59, 1,008.18 and 415.83

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Solution

The fourth proportional to 730.59, 1,008.18 and 415.83 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.59 : 1,008.18 = 415.83 : x
  2. Step 2: Convert to fraction form
    730.59/1,008.18 = 415.83/x
  3. Step 3: Cross multiply
    730.59x = 1,008.18 × 415.83
  4. Step 4: Simplify right side
    730.59x = 419,231.49
  5. Step 5: Solve for x
    x = 419,231.49/730.59
  6. Step 6: Final answer
    x = 573.83

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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.