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Finding the Fourth Proportional to 509.57, 763.85 and 201.32

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Solution

The fourth proportional to 509.57, 763.85 and 201.32 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.57 : 763.85 = 201.32 : x
  2. Step 2: Convert to fraction form
    509.57/763.85 = 201.32/x
  3. Step 3: Cross multiply
    509.57x = 763.85 × 201.32
  4. Step 4: Simplify right side
    509.57x = 153,773.46
  5. Step 5: Solve for x
    x = 153,773.46/509.57
  6. Step 6: Final answer
    x = 301.77

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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.