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Finding the Fourth Proportional to 485.16, 670.05 and 422.70

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Solution

The fourth proportional to 485.16, 670.05 and 422.70 is: 583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 670.05 = 422.70 : x
  2. Step 2: Convert to fraction form
    485.16/670.05 = 422.70/x
  3. Step 3: Cross multiply
    485.16x = 670.05 × 422.70
  4. Step 4: Simplify right side
    485.16x = 283,230.14
  5. Step 5: Solve for x
    x = 283,230.14/485.16
  6. Step 6: Final answer
    x = 583.79

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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.