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Finding the Fourth Proportional to 561.76, 842.82 and 273.16

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Solution

The fourth proportional to 561.76, 842.82 and 273.16 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 842.82 = 273.16 : x
  2. Step 2: Convert to fraction form
    561.76/842.82 = 273.16/x
  3. Step 3: Cross multiply
    561.76x = 842.82 × 273.16
  4. Step 4: Simplify right side
    561.76x = 230,224.71
  5. Step 5: Solve for x
    x = 230,224.71/561.76
  6. Step 6: Final answer
    x = 409.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.