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Finding the Fourth Proportional to 485.62, 670.14 and 264.56

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Solution

The fourth proportional to 485.62, 670.14 and 264.56 is: 365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.62 : 670.14 = 264.56 : x
  2. Step 2: Convert to fraction form
    485.62/670.14 = 264.56/x
  3. Step 3: Cross multiply
    485.62x = 670.14 × 264.56
  4. Step 4: Simplify right side
    485.62x = 177,292.24
  5. Step 5: Solve for x
    x = 177,292.24/485.62
  6. Step 6: Final answer
    x = 365.08

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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.