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Finding the Fourth Proportional to 484.48, 666.12 and 431.53

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Solution

The fourth proportional to 484.48, 666.12 and 431.53 is: 593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.48 : 666.12 = 431.53 : x
  2. Step 2: Convert to fraction form
    484.48/666.12 = 431.53/x
  3. Step 3: Cross multiply
    484.48x = 666.12 × 431.53
  4. Step 4: Simplify right side
    484.48x = 287,450.72
  5. Step 5: Solve for x
    x = 287,450.72/484.48
  6. Step 6: Final answer
    x = 593.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.