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Finding the Fourth Proportional to 411.32, 566.48 and 356.04

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Solution

The fourth proportional to 411.32, 566.48 and 356.04 is: 490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 566.48 = 356.04 : x
  2. Step 2: Convert to fraction form
    411.32/566.48 = 356.04/x
  3. Step 3: Cross multiply
    411.32x = 566.48 × 356.04
  4. Step 4: Simplify right side
    411.32x = 201,690.43
  5. Step 5: Solve for x
    x = 201,690.43/411.32
  6. Step 6: Final answer
    x = 490.35

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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.