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Finding the Fourth Proportional to 730.17, 1,094.72 and 291.28

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Solution

The fourth proportional to 730.17, 1,094.72 and 291.28 is: 436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.17 : 1,094.72 = 291.28 : x
  2. Step 2: Convert to fraction form
    730.17/1,094.72 = 291.28/x
  3. Step 3: Cross multiply
    730.17x = 1,094.72 × 291.28
  4. Step 4: Simplify right side
    730.17x = 318,873.90
  5. Step 5: Solve for x
    x = 318,873.90/730.17
  6. Step 6: Final answer
    x = 436.71

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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.