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Finding the Fourth Proportional to 484.77, 727.66 and 302.29

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Solution

The fourth proportional to 484.77, 727.66 and 302.29 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.77 : 727.66 = 302.29 : x
  2. Step 2: Convert to fraction form
    484.77/727.66 = 302.29/x
  3. Step 3: Cross multiply
    484.77x = 727.66 × 302.29
  4. Step 4: Simplify right side
    484.77x = 219,961.77
  5. Step 5: Solve for x
    x = 219,961.77/484.77
  6. Step 6: Final answer
    x = 453.75

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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.