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Finding the Fourth Proportional to 509.71, 764.66 and 184.99

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Solution

The fourth proportional to 509.71, 764.66 and 184.99 is: 277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.71 : 764.66 = 184.99 : x
  2. Step 2: Convert to fraction form
    509.71/764.66 = 184.99/x
  3. Step 3: Cross multiply
    509.71x = 764.66 × 184.99
  4. Step 4: Simplify right side
    509.71x = 141,454.45
  5. Step 5: Solve for x
    x = 141,454.45/509.71
  6. Step 6: Final answer
    x = 277.52

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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.