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Finding the Fourth Proportional to 472.98, 709.24 and 241.86

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Solution

The fourth proportional to 472.98, 709.24 and 241.86 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.98 : 709.24 = 241.86 : x
  2. Step 2: Convert to fraction form
    472.98/709.24 = 241.86/x
  3. Step 3: Cross multiply
    472.98x = 709.24 × 241.86
  4. Step 4: Simplify right side
    472.98x = 171,536.79
  5. Step 5: Solve for x
    x = 171,536.79/472.98
  6. Step 6: Final answer
    x = 362.67

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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.