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Finding the Fourth Proportional to 484.16, 727.11 and 464.59

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Solution

The fourth proportional to 484.16, 727.11 and 464.59 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.16 : 727.11 = 464.59 : x
  2. Step 2: Convert to fraction form
    484.16/727.11 = 464.59/x
  3. Step 3: Cross multiply
    484.16x = 727.11 × 464.59
  4. Step 4: Simplify right side
    484.16x = 337,804.40
  5. Step 5: Solve for x
    x = 337,804.40/484.16
  6. Step 6: Final answer
    x = 697.71

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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.