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Finding the Fourth Proportional to 856.41, 1,283.84 and 308.20

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Solution

The fourth proportional to 856.41, 1,283.84 and 308.20 is: 462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,283.84 = 308.20 : x
  2. Step 2: Convert to fraction form
    856.41/1,283.84 = 308.20/x
  3. Step 3: Cross multiply
    856.41x = 1,283.84 × 308.20
  4. Step 4: Simplify right side
    856.41x = 395,681.16
  5. Step 5: Solve for x
    x = 395,681.16/856.41
  6. Step 6: Final answer
    x = 462.03

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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.