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Finding the Fourth Proportional to 427.86, 590.22 and 406.80

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Solution

The fourth proportional to 427.86, 590.22 and 406.80 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 590.22 = 406.80 : x
  2. Step 2: Convert to fraction form
    427.86/590.22 = 406.80/x
  3. Step 3: Cross multiply
    427.86x = 590.22 × 406.80
  4. Step 4: Simplify right side
    427.86x = 240,101.50
  5. Step 5: Solve for x
    x = 240,101.50/427.86
  6. Step 6: Final answer
    x = 561.17

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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.