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Finding the Fourth Proportional to 485.66, 670.74 and 423.20

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Solution

The fourth proportional to 485.66, 670.74 and 423.20 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.66 : 670.74 = 423.20 : x
  2. Step 2: Convert to fraction form
    485.66/670.74 = 423.20/x
  3. Step 3: Cross multiply
    485.66x = 670.74 × 423.20
  4. Step 4: Simplify right side
    485.66x = 283,857.17
  5. Step 5: Solve for x
    x = 283,857.17/485.66
  6. Step 6: Final answer
    x = 584.48

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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.