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Finding the Fourth Proportional to 586.51, 809.39 and 324.54

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Solution

The fourth proportional to 586.51, 809.39 and 324.54 is: 447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.51 : 809.39 = 324.54 : x
  2. Step 2: Convert to fraction form
    586.51/809.39 = 324.54/x
  3. Step 3: Cross multiply
    586.51x = 809.39 × 324.54
  4. Step 4: Simplify right side
    586.51x = 262,673.76
  5. Step 5: Solve for x
    x = 262,673.76/586.51
  6. Step 6: Final answer
    x = 447.86

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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.