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Finding the Fourth Proportional to 475.99, 714.09 and 241.86

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Solution

The fourth proportional to 475.99, 714.09 and 241.86 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.99 : 714.09 = 241.86 : x
  2. Step 2: Convert to fraction form
    475.99/714.09 = 241.86/x
  3. Step 3: Cross multiply
    475.99x = 714.09 × 241.86
  4. Step 4: Simplify right side
    475.99x = 172,709.81
  5. Step 5: Solve for x
    x = 172,709.81/475.99
  6. Step 6: Final answer
    x = 362.84

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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.