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Finding the Fourth Proportional to 509.20, 763.04 and 362.72

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Solution

The fourth proportional to 509.20, 763.04 and 362.72 is: 543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.20 : 763.04 = 362.72 : x
  2. Step 2: Convert to fraction form
    509.20/763.04 = 362.72/x
  3. Step 3: Cross multiply
    509.20x = 763.04 × 362.72
  4. Step 4: Simplify right side
    509.20x = 276,769.87
  5. Step 5: Solve for x
    x = 276,769.87/509.20
  6. Step 6: Final answer
    x = 543.54

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Double scale
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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.