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Finding the Fourth Proportional to 411.47, 566.14 and 362.27

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Solution

The fourth proportional to 411.47, 566.14 and 362.27 is: 498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 566.14 = 362.27 : x
  2. Step 2: Convert to fraction form
    411.47/566.14 = 362.27/x
  3. Step 3: Cross multiply
    411.47x = 566.14 × 362.27
  4. Step 4: Simplify right side
    411.47x = 205,095.54
  5. Step 5: Solve for x
    x = 205,095.54/411.47
  6. Step 6: Final answer
    x = 498.45

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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.