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Finding the Fourth Proportional to 485.51, 727.25 and 362.28

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Solution

The fourth proportional to 485.51, 727.25 and 362.28 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.51 : 727.25 = 362.28 : x
  2. Step 2: Convert to fraction form
    485.51/727.25 = 362.28/x
  3. Step 3: Cross multiply
    485.51x = 727.25 × 362.28
  4. Step 4: Simplify right side
    485.51x = 263,469.05
  5. Step 5: Solve for x
    x = 263,469.05/485.51
  6. Step 6: Final answer
    x = 542.67

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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.