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Finding the Fourth Proportional to 485.08, 728.55 and 415.83

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Solution

The fourth proportional to 485.08, 728.55 and 415.83 is: 624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.08 : 728.55 = 415.83 : x
  2. Step 2: Convert to fraction form
    485.08/728.55 = 415.83/x
  3. Step 3: Cross multiply
    485.08x = 728.55 × 415.83
  4. Step 4: Simplify right side
    485.08x = 302,949.30
  5. Step 5: Solve for x
    x = 302,949.30/485.08
  6. Step 6: Final answer
    x = 624.53

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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.