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Finding the Fourth Proportional to 326.99, 491.15 and 278.24

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Solution

The fourth proportional to 326.99, 491.15 and 278.24 is: 417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.99 : 491.15 = 278.24 : x
  2. Step 2: Convert to fraction form
    326.99/491.15 = 278.24/x
  3. Step 3: Cross multiply
    326.99x = 491.15 × 278.24
  4. Step 4: Simplify right side
    326.99x = 136,655.82
  5. Step 5: Solve for x
    x = 136,655.82/326.99
  6. Step 6: Final answer
    x = 417.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.