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Finding the Fourth Proportional to 411.80, 569.78 and 359.46

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Solution

The fourth proportional to 411.80, 569.78 and 359.46 is: 497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 569.78 = 359.46 : x
  2. Step 2: Convert to fraction form
    411.80/569.78 = 359.46/x
  3. Step 3: Cross multiply
    411.80x = 569.78 × 359.46
  4. Step 4: Simplify right side
    411.80x = 204,813.12
  5. Step 5: Solve for x
    x = 204,813.12/411.80
  6. Step 6: Final answer
    x = 497.36

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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.