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Finding the Fourth Proportional to 504.09, 756.96 and 380.70

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Solution

The fourth proportional to 504.09, 756.96 and 380.70 is: 571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.09 : 756.96 = 380.70 : x
  2. Step 2: Convert to fraction form
    504.09/756.96 = 380.70/x
  3. Step 3: Cross multiply
    504.09x = 756.96 × 380.70
  4. Step 4: Simplify right side
    504.09x = 288,174.67
  5. Step 5: Solve for x
    x = 288,174.67/504.09
  6. Step 6: Final answer
    x = 571.67

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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.