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Finding the Fourth Proportional to 730.15, 1,007.57 and 415.39

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Solution

The fourth proportional to 730.15, 1,007.57 and 415.39 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.15 : 1,007.57 = 415.39 : x
  2. Step 2: Convert to fraction form
    730.15/1,007.57 = 415.39/x
  3. Step 3: Cross multiply
    730.15x = 1,007.57 × 415.39
  4. Step 4: Simplify right side
    730.15x = 418,534.50
  5. Step 5: Solve for x
    x = 418,534.50/730.15
  6. Step 6: Final answer
    x = 573.22

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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.