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Finding the Fourth Proportional to 961.74, 1,442.61 and 312.48

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Solution

The fourth proportional to 961.74, 1,442.61 and 312.48 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.74 : 1,442.61 = 312.48 : x
  2. Step 2: Convert to fraction form
    961.74/1,442.61 = 312.48/x
  3. Step 3: Cross multiply
    961.74x = 1,442.61 × 312.48
  4. Step 4: Simplify right side
    961.74x = 450,786.77
  5. Step 5: Solve for x
    x = 450,786.77/961.74
  6. Step 6: Final answer
    x = 468.72

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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.