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Finding the Fourth Proportional to 856.71, 1,285.07 and 279.59

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Solution

The fourth proportional to 856.71, 1,285.07 and 279.59 is: 419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.71 : 1,285.07 = 279.59 : x
  2. Step 2: Convert to fraction form
    856.71/1,285.07 = 279.59/x
  3. Step 3: Cross multiply
    856.71x = 1,285.07 × 279.59
  4. Step 4: Simplify right side
    856.71x = 359,291.81
  5. Step 5: Solve for x
    x = 359,291.81/856.71
  6. Step 6: Final answer
    x = 419.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.