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Finding the Fourth Proportional to 486.16, 670.90 and 286.96

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Solution

The fourth proportional to 486.16, 670.90 and 286.96 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 670.90 = 286.96 : x
  2. Step 2: Convert to fraction form
    486.16/670.90 = 286.96/x
  3. Step 3: Cross multiply
    486.16x = 670.90 × 286.96
  4. Step 4: Simplify right side
    486.16x = 192,521.46
  5. Step 5: Solve for x
    x = 192,521.46/486.16
  6. Step 6: Final answer
    x = 396.00

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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.