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Finding the Fourth Proportional to 856.32, 1,284.42 and 240.06

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Solution

The fourth proportional to 856.32, 1,284.42 and 240.06 is: 360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.32 : 1,284.42 = 240.06 : x
  2. Step 2: Convert to fraction form
    856.32/1,284.42 = 240.06/x
  3. Step 3: Cross multiply
    856.32x = 1,284.42 × 240.06
  4. Step 4: Simplify right side
    856.32x = 308,337.87
  5. Step 5: Solve for x
    x = 308,337.87/856.32
  6. Step 6: Final answer
    x = 360.07

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Why These Related Problems?

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