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Finding the Fourth Proportional to 484.27, 727.33 and 415.01

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Solution

The fourth proportional to 484.27, 727.33 and 415.01 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.27 : 727.33 = 415.01 : x
  2. Step 2: Convert to fraction form
    484.27/727.33 = 415.01/x
  3. Step 3: Cross multiply
    484.27x = 727.33 × 415.01
  4. Step 4: Simplify right side
    484.27x = 301,849.22
  5. Step 5: Solve for x
    x = 301,849.22/484.27
  6. Step 6: Final answer
    x = 623.31

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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.