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Finding the Fourth Proportional to 411.68, 569.23 and 359.78

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Solution

The fourth proportional to 411.68, 569.23 and 359.78 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 569.23 = 359.78 : x
  2. Step 2: Convert to fraction form
    411.68/569.23 = 359.78/x
  3. Step 3: Cross multiply
    411.68x = 569.23 × 359.78
  4. Step 4: Simplify right side
    411.68x = 204,793.82
  5. Step 5: Solve for x
    x = 204,793.82/411.68
  6. Step 6: Final answer
    x = 497.46

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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.