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Finding the Fourth Proportional to 846.31, 1,269.97 and 384.08

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Solution

The fourth proportional to 846.31, 1,269.97 and 384.08 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.31 : 1,269.97 = 384.08 : x
  2. Step 2: Convert to fraction form
    846.31/1,269.97 = 384.08/x
  3. Step 3: Cross multiply
    846.31x = 1,269.97 × 384.08
  4. Step 4: Simplify right side
    846.31x = 487,776.52
  5. Step 5: Solve for x
    x = 487,776.52/846.31
  6. Step 6: Final answer
    x = 576.35

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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.