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Finding the Fourth Proportional to 485.71, 728.57 and 177.79

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Solution

The fourth proportional to 485.71, 728.57 and 177.79 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.71 : 728.57 = 177.79 : x
  2. Step 2: Convert to fraction form
    485.71/728.57 = 177.79/x
  3. Step 3: Cross multiply
    485.71x = 728.57 × 177.79
  4. Step 4: Simplify right side
    485.71x = 129,529.51
  5. Step 5: Solve for x
    x = 129,529.51/485.71
  6. Step 6: Final answer
    x = 266.68

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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.