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Finding the Fourth Proportional to 367.88, 548.78 and 340.47

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Solution

The fourth proportional to 367.88, 548.78 and 340.47 is: 507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 548.78 = 340.47 : x
  2. Step 2: Convert to fraction form
    367.88/548.78 = 340.47/x
  3. Step 3: Cross multiply
    367.88x = 548.78 × 340.47
  4. Step 4: Simplify right side
    367.88x = 186,841.42
  5. Step 5: Solve for x
    x = 186,841.42/367.88
  6. Step 6: Final answer
    x = 507.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.