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Finding the Fourth Proportional to 485.04, 727.20 and 433.20

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Solution

The fourth proportional to 485.04, 727.20 and 433.20 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.04 : 727.20 = 433.20 : x
  2. Step 2: Convert to fraction form
    485.04/727.20 = 433.20/x
  3. Step 3: Cross multiply
    485.04x = 727.20 × 433.20
  4. Step 4: Simplify right side
    485.04x = 315,023.04
  5. Step 5: Solve for x
    x = 315,023.04/485.04
  6. Step 6: Final answer
    x = 649.48

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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.