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Finding the Fourth Proportional to 367.74, 507.24 and 340.38

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Solution

The fourth proportional to 367.74, 507.24 and 340.38 is: 469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 507.24 = 340.38 : x
  2. Step 2: Convert to fraction form
    367.74/507.24 = 340.38/x
  3. Step 3: Cross multiply
    367.74x = 507.24 × 340.38
  4. Step 4: Simplify right side
    367.74x = 172,654.35
  5. Step 5: Solve for x
    x = 172,654.35/367.74
  6. Step 6: Final answer
    x = 469.50

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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.