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Finding the Fourth Proportional to 403.48, 557.76 and 367.48

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Solution

The fourth proportional to 403.48, 557.76 and 367.48 is: 507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 557.76 = 367.48 : x
  2. Step 2: Convert to fraction form
    403.48/557.76 = 367.48/x
  3. Step 3: Cross multiply
    403.48x = 557.76 × 367.48
  4. Step 4: Simplify right side
    403.48x = 204,965.64
  5. Step 5: Solve for x
    x = 204,965.64/403.48
  6. Step 6: Final answer
    x = 507.99

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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.