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Finding the Fourth Proportional to 485.93, 670.59 and 264.88

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Solution

The fourth proportional to 485.93, 670.59 and 264.88 is: 365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.93 : 670.59 = 264.88 : x
  2. Step 2: Convert to fraction form
    485.93/670.59 = 264.88/x
  3. Step 3: Cross multiply
    485.93x = 670.59 × 264.88
  4. Step 4: Simplify right side
    485.93x = 177,625.88
  5. Step 5: Solve for x
    x = 177,625.88/485.93
  6. Step 6: Final answer
    x = 365.54

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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.