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Finding the Fourth Proportional to 509.37, 764.06 and 370.67

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Solution

The fourth proportional to 509.37, 764.06 and 370.67 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.37 : 764.06 = 370.67 : x
  2. Step 2: Convert to fraction form
    509.37/764.06 = 370.67/x
  3. Step 3: Cross multiply
    509.37x = 764.06 × 370.67
  4. Step 4: Simplify right side
    509.37x = 283,208.45
  5. Step 5: Solve for x
    x = 283,208.45/509.37
  6. Step 6: Final answer
    x = 556.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.