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Finding the Fourth Proportional to 730.00, 1,007.40 and 398.43

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Solution

The fourth proportional to 730.00, 1,007.40 and 398.43 is: 549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.00 : 1,007.40 = 398.43 : x
  2. Step 2: Convert to fraction form
    730.00/1,007.40 = 398.43/x
  3. Step 3: Cross multiply
    730.00x = 1,007.40 × 398.43
  4. Step 4: Simplify right side
    730.00x = 401,373.35
  5. Step 5: Solve for x
    x = 401,373.35/730.00
  6. Step 6: Final answer
    x = 549.83

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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.