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Finding the Fourth Proportional to 485.96, 728.99 and 177.77

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Solution

The fourth proportional to 485.96, 728.99 and 177.77 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.96 : 728.99 = 177.77 : x
  2. Step 2: Convert to fraction form
    485.96/728.99 = 177.77/x
  3. Step 3: Cross multiply
    485.96x = 728.99 × 177.77
  4. Step 4: Simplify right side
    485.96x = 129,588.02
  5. Step 5: Solve for x
    x = 129,588.02/485.96
  6. Step 6: Final answer
    x = 266.67

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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.