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Finding the Fourth Proportional to 841.83, 1,262.25 and 321.66

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Solution

The fourth proportional to 841.83, 1,262.25 and 321.66 is: 482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.83 : 1,262.25 = 321.66 : x
  2. Step 2: Convert to fraction form
    841.83/1,262.25 = 321.66/x
  3. Step 3: Cross multiply
    841.83x = 1,262.25 × 321.66
  4. Step 4: Simplify right side
    841.83x = 406,015.34
  5. Step 5: Solve for x
    x = 406,015.34/841.83
  6. Step 6: Final answer
    x = 482.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.