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Finding the Fourth Proportional to 484.32, 662.64 and 482.28

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Solution

The fourth proportional to 484.32, 662.64 and 482.28 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.32 : 662.64 = 482.28 : x
  2. Step 2: Convert to fraction form
    484.32/662.64 = 482.28/x
  3. Step 3: Cross multiply
    484.32x = 662.64 × 482.28
  4. Step 4: Simplify right side
    484.32x = 319,578.02
  5. Step 5: Solve for x
    x = 319,578.02/484.32
  6. Step 6: Final answer
    x = 659.85

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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.