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Finding the Fourth Proportional to 411.54, 566.88 and 328.68

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Solution

The fourth proportional to 411.54, 566.88 and 328.68 is: 452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 566.88 = 328.68 : x
  2. Step 2: Convert to fraction form
    411.54/566.88 = 328.68/x
  3. Step 3: Cross multiply
    411.54x = 566.88 × 328.68
  4. Step 4: Simplify right side
    411.54x = 186,322.12
  5. Step 5: Solve for x
    x = 186,322.12/411.54
  6. Step 6: Final answer
    x = 452.74

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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.