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Finding the Fourth Proportional to 475.67, 714.09 and 367.52

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Solution

The fourth proportional to 475.67, 714.09 and 367.52 is: 551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.67 : 714.09 = 367.52 : x
  2. Step 2: Convert to fraction form
    475.67/714.09 = 367.52/x
  3. Step 3: Cross multiply
    475.67x = 714.09 × 367.52
  4. Step 4: Simplify right side
    475.67x = 262,442.36
  5. Step 5: Solve for x
    x = 262,442.36/475.67
  6. Step 6: Final answer
    x = 551.73

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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.