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Finding the Fourth Proportional to 586.83, 809.83 and 338.14

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Solution

The fourth proportional to 586.83, 809.83 and 338.14 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.83 : 809.83 = 338.14 : x
  2. Step 2: Convert to fraction form
    586.83/809.83 = 338.14/x
  3. Step 3: Cross multiply
    586.83x = 809.83 × 338.14
  4. Step 4: Simplify right side
    586.83x = 273,837.35
  5. Step 5: Solve for x
    x = 273,837.35/586.83
  6. Step 6: Final answer
    x = 466.64

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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.