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Finding the Fourth Proportional to 509.80, 764.66 and 201.46

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Solution

The fourth proportional to 509.80, 764.66 and 201.46 is: 302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 764.66 = 201.46 : x
  2. Step 2: Convert to fraction form
    509.80/764.66 = 201.46/x
  3. Step 3: Cross multiply
    509.80x = 764.66 × 201.46
  4. Step 4: Simplify right side
    509.80x = 154,048.40
  5. Step 5: Solve for x
    x = 154,048.40/509.80
  6. Step 6: Final answer
    x = 302.17

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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.