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Finding the Fourth Proportional to 415.85, 571.58 and 366.44

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Solution

The fourth proportional to 415.85, 571.58 and 366.44 is: 503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.85 : 571.58 = 366.44 : x
  2. Step 2: Convert to fraction form
    415.85/571.58 = 366.44/x
  3. Step 3: Cross multiply
    415.85x = 571.58 × 366.44
  4. Step 4: Simplify right side
    415.85x = 209,449.78
  5. Step 5: Solve for x
    x = 209,449.78/415.85
  6. Step 6: Final answer
    x = 503.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.