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Finding the Fourth Proportional to 485.96, 670.63 and 264.91

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Solution

The fourth proportional to 485.96, 670.63 and 264.91 is: 365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.96 : 670.63 = 264.91 : x
  2. Step 2: Convert to fraction form
    485.96/670.63 = 264.91/x
  3. Step 3: Cross multiply
    485.96x = 670.63 × 264.91
  4. Step 4: Simplify right side
    485.96x = 177,655.92
  5. Step 5: Solve for x
    x = 177,655.92/485.96
  6. Step 6: Final answer
    x = 365.58

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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.