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Finding the Fourth Proportional to 485.97, 670.62 and 284.13

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Solution

The fourth proportional to 485.97, 670.62 and 284.13 is: 392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.97 : 670.62 = 284.13 : x
  2. Step 2: Convert to fraction form
    485.97/670.62 = 284.13/x
  3. Step 3: Cross multiply
    485.97x = 670.62 × 284.13
  4. Step 4: Simplify right side
    485.97x = 190,543.26
  5. Step 5: Solve for x
    x = 190,543.26/485.97
  6. Step 6: Final answer
    x = 392.09

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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.