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Finding the Fourth Proportional to 411.08, 565.34 and 328.04

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Solution

The fourth proportional to 411.08, 565.34 and 328.04 is: 451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 565.34 = 328.04 : x
  2. Step 2: Convert to fraction form
    411.08/565.34 = 328.04/x
  3. Step 3: Cross multiply
    411.08x = 565.34 × 328.04
  4. Step 4: Simplify right side
    411.08x = 185,454.13
  5. Step 5: Solve for x
    x = 185,454.13/411.08
  6. Step 6: Final answer
    x = 451.14

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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.