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Finding the Fourth Proportional to 471.85, 651.15 and 264.85

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Solution

The fourth proportional to 471.85, 651.15 and 264.85 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.85 : 651.15 = 264.85 : x
  2. Step 2: Convert to fraction form
    471.85/651.15 = 264.85/x
  3. Step 3: Cross multiply
    471.85x = 651.15 × 264.85
  4. Step 4: Simplify right side
    471.85x = 172,452.50
  5. Step 5: Solve for x
    x = 172,452.50/471.85
  6. Step 6: Final answer
    x = 365.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.