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Finding the Fourth Proportional to 506.38, 699.12 and 332.22

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Solution

The fourth proportional to 506.38, 699.12 and 332.22 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.38 : 699.12 = 332.22 : x
  2. Step 2: Convert to fraction form
    506.38/699.12 = 332.22/x
  3. Step 3: Cross multiply
    506.38x = 699.12 × 332.22
  4. Step 4: Simplify right side
    506.38x = 232,261.65
  5. Step 5: Solve for x
    x = 232,261.65/506.38
  6. Step 6: Final answer
    x = 458.67

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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.