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Finding the Fourth Proportional to 484.87, 727.77 and 177.02

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Solution

The fourth proportional to 484.87, 727.77 and 177.02 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.87 : 727.77 = 177.02 : x
  2. Step 2: Convert to fraction form
    484.87/727.77 = 177.02/x
  3. Step 3: Cross multiply
    484.87x = 727.77 × 177.02
  4. Step 4: Simplify right side
    484.87x = 128,829.85
  5. Step 5: Solve for x
    x = 128,829.85/484.87
  6. Step 6: Final answer
    x = 265.70

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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.