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Finding the Fourth Proportional to 856.90, 1,285.18 and 279.64

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Solution

The fourth proportional to 856.90, 1,285.18 and 279.64 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.90 : 1,285.18 = 279.64 : x
  2. Step 2: Convert to fraction form
    856.90/1,285.18 = 279.64/x
  3. Step 3: Cross multiply
    856.90x = 1,285.18 × 279.64
  4. Step 4: Simplify right side
    856.90x = 359,387.74
  5. Step 5: Solve for x
    x = 359,387.74/856.90
  6. Step 6: Final answer
    x = 419.40

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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.