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Finding the Fourth Proportional to 416.67, 623.71 and 362.67

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Solution

The fourth proportional to 416.67, 623.71 and 362.67 is: 542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 623.71 = 362.67 : x
  2. Step 2: Convert to fraction form
    416.67/623.71 = 362.67/x
  3. Step 3: Cross multiply
    416.67x = 623.71 × 362.67
  4. Step 4: Simplify right side
    416.67x = 226,200.91
  5. Step 5: Solve for x
    x = 226,200.91/416.67
  6. Step 6: Final answer
    x = 542.88

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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.