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Finding the Fourth Proportional to 961.84, 1,442.64 and 384.28

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Solution

The fourth proportional to 961.84, 1,442.64 and 384.28 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.84 : 1,442.64 = 384.28 : x
  2. Step 2: Convert to fraction form
    961.84/1,442.64 = 384.28/x
  3. Step 3: Cross multiply
    961.84x = 1,442.64 × 384.28
  4. Step 4: Simplify right side
    961.84x = 554,377.70
  5. Step 5: Solve for x
    x = 554,377.70/961.84
  6. Step 6: Final answer
    x = 576.37

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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.