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Finding the Fourth Proportional to 412, 567.04 and 328.84

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Solution

The fourth proportional to 412, 567.04 and 328.84 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 567.04 = 328.84 : x
  2. Step 2: Convert to fraction form
    412/567.04 = 328.84/x
  3. Step 3: Cross multiply
    412x = 567.04 × 328.84
  4. Step 4: Simplify right side
    412x = 186,465.43
  5. Step 5: Solve for x
    x = 186,465.43/412
  6. Step 6: Final answer
    x = 452.59

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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.