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Finding the Fourth Proportional to 543.04, 814.47 and 177.77

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Solution

The fourth proportional to 543.04, 814.47 and 177.77 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 814.47 = 177.77 : x
  2. Step 2: Convert to fraction form
    543.04/814.47 = 177.77/x
  3. Step 3: Cross multiply
    543.04x = 814.47 × 177.77
  4. Step 4: Simplify right side
    543.04x = 144,788.33
  5. Step 5: Solve for x
    x = 144,788.33/543.04
  6. Step 6: Final answer
    x = 266.63

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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.