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Finding the Fourth Proportional to 485.31, 727.64 and 177.13

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Solution

The fourth proportional to 485.31, 727.64 and 177.13 is: 265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.31 : 727.64 = 177.13 : x
  2. Step 2: Convert to fraction form
    485.31/727.64 = 177.13/x
  3. Step 3: Cross multiply
    485.31x = 727.64 × 177.13
  4. Step 4: Simplify right side
    485.31x = 128,883.24
  5. Step 5: Solve for x
    x = 128,883.24/485.31
  6. Step 6: Final answer
    x = 265.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.