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Finding the Fourth Proportional to 840.17, 1,259.41 and 291.97

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Solution

The fourth proportional to 840.17, 1,259.41 and 291.97 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.17 : 1,259.41 = 291.97 : x
  2. Step 2: Convert to fraction form
    840.17/1,259.41 = 291.97/x
  3. Step 3: Cross multiply
    840.17x = 1,259.41 × 291.97
  4. Step 4: Simplify right side
    840.17x = 367,709.94
  5. Step 5: Solve for x
    x = 367,709.94/840.17
  6. Step 6: Final answer
    x = 437.66

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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.