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Finding the Fourth Proportional to 291.74, 435.15 and 274.82

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Solution

The fourth proportional to 291.74, 435.15 and 274.82 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.74 : 435.15 = 274.82 : x
  2. Step 2: Convert to fraction form
    291.74/435.15 = 274.82/x
  3. Step 3: Cross multiply
    291.74x = 435.15 × 274.82
  4. Step 4: Simplify right side
    291.74x = 119,586.55
  5. Step 5: Solve for x
    x = 119,586.55/291.74
  6. Step 6: Final answer
    x = 409.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.