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Finding the Fourth Proportional to 411.56, 567.30 and 328.52

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Solution

The fourth proportional to 411.56, 567.30 and 328.52 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.56 : 567.30 = 328.52 : x
  2. Step 2: Convert to fraction form
    411.56/567.30 = 328.52/x
  3. Step 3: Cross multiply
    411.56x = 567.30 × 328.52
  4. Step 4: Simplify right side
    411.56x = 186,369.40
  5. Step 5: Solve for x
    x = 186,369.40/411.56
  6. Step 6: Final answer
    x = 452.84

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Why These Related Problems?

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