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Finding the Fourth Proportional to 586.71, 809.62 and 324.71

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Solution

The fourth proportional to 586.71, 809.62 and 324.71 is: 448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.71 : 809.62 = 324.71 : x
  2. Step 2: Convert to fraction form
    586.71/809.62 = 324.71/x
  3. Step 3: Cross multiply
    586.71x = 809.62 × 324.71
  4. Step 4: Simplify right side
    586.71x = 262,886.85
  5. Step 5: Solve for x
    x = 262,886.85/586.71
  6. Step 6: Final answer
    x = 448.07

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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.