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Finding the Fourth Proportional to 730.48, 1,095.78 and 297.52

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Solution

The fourth proportional to 730.48, 1,095.78 and 297.52 is: 446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.48 : 1,095.78 = 297.52 : x
  2. Step 2: Convert to fraction form
    730.48/1,095.78 = 297.52/x
  3. Step 3: Cross multiply
    730.48x = 1,095.78 × 297.52
  4. Step 4: Simplify right side
    730.48x = 326,016.47
  5. Step 5: Solve for x
    x = 326,016.47/730.48
  6. Step 6: Final answer
    x = 446.30

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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.