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Finding the Fourth Proportional to 485.42, 670.01 and 298.91

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Solution

The fourth proportional to 485.42, 670.01 and 298.91 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.42 : 670.01 = 298.91 : x
  2. Step 2: Convert to fraction form
    485.42/670.01 = 298.91/x
  3. Step 3: Cross multiply
    485.42x = 670.01 × 298.91
  4. Step 4: Simplify right side
    485.42x = 200,272.87
  5. Step 5: Solve for x
    x = 200,272.87/485.42
  6. Step 6: Final answer
    x = 412.58

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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.