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Finding the Fourth Proportional to 586.22, 809.08 and 350.09

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Solution

The fourth proportional to 586.22, 809.08 and 350.09 is: 483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.22 : 809.08 = 350.09 : x
  2. Step 2: Convert to fraction form
    586.22/809.08 = 350.09/x
  3. Step 3: Cross multiply
    586.22x = 809.08 × 350.09
  4. Step 4: Simplify right side
    586.22x = 283,250.14
  5. Step 5: Solve for x
    x = 283,250.14/586.22
  6. Step 6: Final answer
    x = 483.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.