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Finding the Fourth Proportional to 586.84, 809.80 and 321.22

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Solution

The fourth proportional to 586.84, 809.80 and 321.22 is: 443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 809.80 = 321.22 : x
  2. Step 2: Convert to fraction form
    586.84/809.80 = 321.22/x
  3. Step 3: Cross multiply
    586.84x = 809.80 × 321.22
  4. Step 4: Simplify right side
    586.84x = 260,126.44
  5. Step 5: Solve for x
    x = 260,126.44/586.84
  6. Step 6: Final answer
    x = 443.26

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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.