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Finding the Fourth Proportional to 730.19, 1,095.47 and 297.47

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Solution

The fourth proportional to 730.19, 1,095.47 and 297.47 is: 446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.19 : 1,095.47 = 297.47 : x
  2. Step 2: Convert to fraction form
    730.19/1,095.47 = 297.47/x
  3. Step 3: Cross multiply
    730.19x = 1,095.47 × 297.47
  4. Step 4: Simplify right side
    730.19x = 325,869.46
  5. Step 5: Solve for x
    x = 325,869.46/730.19
  6. Step 6: Final answer
    x = 446.28

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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.