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Finding the Fourth Proportional to 730.27, 1,095.40 and 297.42

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Solution

The fourth proportional to 730.27, 1,095.40 and 297.42 is: 446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.27 : 1,095.40 = 297.42 : x
  2. Step 2: Convert to fraction form
    730.27/1,095.40 = 297.42/x
  3. Step 3: Cross multiply
    730.27x = 1,095.40 × 297.42
  4. Step 4: Simplify right side
    730.27x = 325,795.46
  5. Step 5: Solve for x
    x = 325,795.46/730.27
  6. Step 6: Final answer
    x = 446.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.