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Finding the Fourth Proportional to 328.24, 494.64 and 271.72

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Solution

The fourth proportional to 328.24, 494.64 and 271.72 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.24 : 494.64 = 271.72 : x
  2. Step 2: Convert to fraction form
    328.24/494.64 = 271.72/x
  3. Step 3: Cross multiply
    328.24x = 494.64 × 271.72
  4. Step 4: Simplify right side
    328.24x = 134,403.58
  5. Step 5: Solve for x
    x = 134,403.58/328.24
  6. Step 6: Final answer
    x = 409.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.