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Finding the Fourth Proportional to 509.86, 764.21 and 249.30

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Solution

The fourth proportional to 509.86, 764.21 and 249.30 is: 373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 764.21 = 249.30 : x
  2. Step 2: Convert to fraction form
    509.86/764.21 = 249.30/x
  3. Step 3: Cross multiply
    509.86x = 764.21 × 249.30
  4. Step 4: Simplify right side
    509.86x = 190,518.18
  5. Step 5: Solve for x
    x = 190,518.18/509.86
  6. Step 6: Final answer
    x = 373.67

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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.