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Finding the Fourth Proportional to 486.78, 672.48 and 382.32

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Solution

The fourth proportional to 486.78, 672.48 and 382.32 is: 528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.78 : 672.48 = 382.32 : x
  2. Step 2: Convert to fraction form
    486.78/672.48 = 382.32/x
  3. Step 3: Cross multiply
    486.78x = 672.48 × 382.32
  4. Step 4: Simplify right side
    486.78x = 257,102.55
  5. Step 5: Solve for x
    x = 257,102.55/486.78
  6. Step 6: Final answer
    x = 528.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.