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Finding the Fourth Proportional to 474.83, 655.24 and 264.99

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Solution

The fourth proportional to 474.83, 655.24 and 264.99 is: 365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.83 : 655.24 = 264.99 : x
  2. Step 2: Convert to fraction form
    474.83/655.24 = 264.99/x
  3. Step 3: Cross multiply
    474.83x = 655.24 × 264.99
  4. Step 4: Simplify right side
    474.83x = 173,632.05
  5. Step 5: Solve for x
    x = 173,632.05/474.83
  6. Step 6: Final answer
    x = 365.67

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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.