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Finding the Fourth Proportional to 961.53, 1,442.27 and 277.53

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Solution

The fourth proportional to 961.53, 1,442.27 and 277.53 is: 416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.53 : 1,442.27 = 277.53 : x
  2. Step 2: Convert to fraction form
    961.53/1,442.27 = 277.53/x
  3. Step 3: Cross multiply
    961.53x = 1,442.27 × 277.53
  4. Step 4: Simplify right side
    961.53x = 400,271.81
  5. Step 5: Solve for x
    x = 400,271.81/961.53
  6. Step 6: Final answer
    x = 416.29

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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.