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Finding the Fourth Proportional to 856.54, 1,284.79 and 240.24

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Solution

The fourth proportional to 856.54, 1,284.79 and 240.24 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.54 : 1,284.79 = 240.24 : x
  2. Step 2: Convert to fraction form
    856.54/1,284.79 = 240.24/x
  3. Step 3: Cross multiply
    856.54x = 1,284.79 × 240.24
  4. Step 4: Simplify right side
    856.54x = 308,657.95
  5. Step 5: Solve for x
    x = 308,657.95/856.54
  6. Step 6: Final answer
    x = 360.35

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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.