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Finding the Fourth Proportional to 856.23, 1,283.85 and 335.91

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Solution

The fourth proportional to 856.23, 1,283.85 and 335.91 is: 503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.23 : 1,283.85 = 335.91 : x
  2. Step 2: Convert to fraction form
    856.23/1,283.85 = 335.91/x
  3. Step 3: Cross multiply
    856.23x = 1,283.85 × 335.91
  4. Step 4: Simplify right side
    856.23x = 431,258.05
  5. Step 5: Solve for x
    x = 431,258.05/856.23
  6. Step 6: Final answer
    x = 503.67

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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.