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Finding the Fourth Proportional to 847.74, 1,271.76 and 300.24

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Solution

The fourth proportional to 847.74, 1,271.76 and 300.24 is: 450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.74 : 1,271.76 = 300.24 : x
  2. Step 2: Convert to fraction form
    847.74/1,271.76 = 300.24/x
  3. Step 3: Cross multiply
    847.74x = 1,271.76 × 300.24
  4. Step 4: Simplify right side
    847.74x = 381,833.22
  5. Step 5: Solve for x
    x = 381,833.22/847.74
  6. Step 6: Final answer
    x = 450.41

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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.