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Finding the Fourth Proportional to 561.79, 842.73 and 177.04

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Solution

The fourth proportional to 561.79, 842.73 and 177.04 is: 265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.79 : 842.73 = 177.04 : x
  2. Step 2: Convert to fraction form
    561.79/842.73 = 177.04/x
  3. Step 3: Cross multiply
    561.79x = 842.73 × 177.04
  4. Step 4: Simplify right side
    561.79x = 149,196.92
  5. Step 5: Solve for x
    x = 149,196.92/561.79
  6. Step 6: Final answer
    x = 265.57

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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.