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Finding the Fourth Proportional to 509.95, 764.58 and 185.28

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Solution

The fourth proportional to 509.95, 764.58 and 185.28 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.95 : 764.58 = 185.28 : x
  2. Step 2: Convert to fraction form
    509.95/764.58 = 185.28/x
  3. Step 3: Cross multiply
    509.95x = 764.58 × 185.28
  4. Step 4: Simplify right side
    509.95x = 141,658.02
  5. Step 5: Solve for x
    x = 141,658.02/509.95
  6. Step 6: Final answer
    x = 277.79

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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.