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Finding the Fourth Proportional to 367.58, 507.76 and 293.80

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Solution

The fourth proportional to 367.58, 507.76 and 293.80 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 507.76 = 293.80 : x
  2. Step 2: Convert to fraction form
    367.58/507.76 = 293.80/x
  3. Step 3: Cross multiply
    367.58x = 507.76 × 293.80
  4. Step 4: Simplify right side
    367.58x = 149,179.89
  5. Step 5: Solve for x
    x = 149,179.89/367.58
  6. Step 6: Final answer
    x = 405.84

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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.