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Finding the Fourth Proportional to 367.60, 507.48 and 320.62

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Solution

The fourth proportional to 367.60, 507.48 and 320.62 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.60 : 507.48 = 320.62 : x
  2. Step 2: Convert to fraction form
    367.60/507.48 = 320.62/x
  3. Step 3: Cross multiply
    367.60x = 507.48 × 320.62
  4. Step 4: Simplify right side
    367.60x = 162,708.24
  5. Step 5: Solve for x
    x = 162,708.24/367.60
  6. Step 6: Final answer
    x = 442.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.