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Finding the Fourth Proportional to 411.12, 566.40 and 384.24

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Solution

The fourth proportional to 411.12, 566.40 and 384.24 is: 529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 566.40 = 384.24 : x
  2. Step 2: Convert to fraction form
    411.12/566.40 = 384.24/x
  3. Step 3: Cross multiply
    411.12x = 566.40 × 384.24
  4. Step 4: Simplify right side
    411.12x = 217,633.54
  5. Step 5: Solve for x
    x = 217,633.54/411.12
  6. Step 6: Final answer
    x = 529.37

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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.