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Finding the Fourth Proportional to 485.65, 728.29 and 177.41

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Solution

The fourth proportional to 485.65, 728.29 and 177.41 is: 266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.65 : 728.29 = 177.41 : x
  2. Step 2: Convert to fraction form
    485.65/728.29 = 177.41/x
  3. Step 3: Cross multiply
    485.65x = 728.29 × 177.41
  4. Step 4: Simplify right side
    485.65x = 129,203.87
  5. Step 5: Solve for x
    x = 129,203.87/485.65
  6. Step 6: Final answer
    x = 266.05

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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.