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Finding the Fourth Proportional to 486.32, 728.97 and 277.64

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Solution

The fourth proportional to 486.32, 728.97 and 277.64 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 728.97 = 277.64 : x
  2. Step 2: Convert to fraction form
    486.32/728.97 = 277.64/x
  3. Step 3: Cross multiply
    486.32x = 728.97 × 277.64
  4. Step 4: Simplify right side
    486.32x = 202,387.59
  5. Step 5: Solve for x
    x = 202,387.59/486.32
  6. Step 6: Final answer
    x = 416.17

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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.