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Finding the Fourth Proportional to 485.85, 728.35 and 177.63

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Solution

The fourth proportional to 485.85, 728.35 and 177.63 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.85 : 728.35 = 177.63 : x
  2. Step 2: Convert to fraction form
    485.85/728.35 = 177.63/x
  3. Step 3: Cross multiply
    485.85x = 728.35 × 177.63
  4. Step 4: Simplify right side
    485.85x = 129,376.81
  5. Step 5: Solve for x
    x = 129,376.81/485.85
  6. Step 6: Final answer
    x = 266.29

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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.