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Finding the Fourth Proportional to 586.97, 809.67 and 387.81

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Solution

The fourth proportional to 586.97, 809.67 and 387.81 is: 534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.97 : 809.67 = 387.81 : x
  2. Step 2: Convert to fraction form
    586.97/809.67 = 387.81/x
  3. Step 3: Cross multiply
    586.97x = 809.67 × 387.81
  4. Step 4: Simplify right side
    586.97x = 313,998.12
  5. Step 5: Solve for x
    x = 313,998.12/586.97
  6. Step 6: Final answer
    x = 534.95

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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.