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Finding the Fourth Proportional to 561.42, 842.00 and 272.79

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Solution

The fourth proportional to 561.42, 842.00 and 272.79 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 842.00 = 272.79 : x
  2. Step 2: Convert to fraction form
    561.42/842.00 = 272.79/x
  3. Step 3: Cross multiply
    561.42x = 842.00 × 272.79
  4. Step 4: Simplify right side
    561.42x = 229,687.82
  5. Step 5: Solve for x
    x = 229,687.82/561.42
  6. Step 6: Final answer
    x = 409.12

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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.