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Finding the Fourth Proportional to 485.06, 669.38 and 264.01

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Solution

The fourth proportional to 485.06, 669.38 and 264.01 is: 364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.06 : 669.38 = 264.01 : x
  2. Step 2: Convert to fraction form
    485.06/669.38 = 264.01/x
  3. Step 3: Cross multiply
    485.06x = 669.38 × 264.01
  4. Step 4: Simplify right side
    485.06x = 176,723.52
  5. Step 5: Solve for x
    x = 176,723.52/485.06
  6. Step 6: Final answer
    x = 364.33

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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.