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Finding the Fourth Proportional to 730.42, 1,094.82 and 297.07

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Solution

The fourth proportional to 730.42, 1,094.82 and 297.07 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.42 : 1,094.82 = 297.07 : x
  2. Step 2: Convert to fraction form
    730.42/1,094.82 = 297.07/x
  3. Step 3: Cross multiply
    730.42x = 1,094.82 × 297.07
  4. Step 4: Simplify right side
    730.42x = 325,238.18
  5. Step 5: Solve for x
    x = 325,238.18/730.42
  6. Step 6: Final answer
    x = 445.28

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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.