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Finding the Fourth Proportional to 856.76, 1,285.16 and 369.47

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Solution

The fourth proportional to 856.76, 1,285.16 and 369.47 is: 554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,285.16 = 369.47 : x
  2. Step 2: Convert to fraction form
    856.76/1,285.16 = 369.47/x
  3. Step 3: Cross multiply
    856.76x = 1,285.16 × 369.47
  4. Step 4: Simplify right side
    856.76x = 474,819.79
  5. Step 5: Solve for x
    x = 474,819.79/856.76
  6. Step 6: Final answer
    x = 554.21

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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.