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Finding the Fourth Proportional to 730.16, 1,095.42 and 243.21

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Solution

The fourth proportional to 730.16, 1,095.42 and 243.21 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.16 : 1,095.42 = 243.21 : x
  2. Step 2: Convert to fraction form
    730.16/1,095.42 = 243.21/x
  3. Step 3: Cross multiply
    730.16x = 1,095.42 × 243.21
  4. Step 4: Simplify right side
    730.16x = 266,417.10
  5. Step 5: Solve for x
    x = 266,417.10/730.16
  6. Step 6: Final answer
    x = 364.88

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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.