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Finding the Fourth Proportional to 844.65, 1,267.16 and 357.70

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Solution

The fourth proportional to 844.65, 1,267.16 and 357.70 is: 536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.65 : 1,267.16 = 357.70 : x
  2. Step 2: Convert to fraction form
    844.65/1,267.16 = 357.70/x
  3. Step 3: Cross multiply
    844.65x = 1,267.16 × 357.70
  4. Step 4: Simplify right side
    844.65x = 453,266.40
  5. Step 5: Solve for x
    x = 453,266.40/844.65
  6. Step 6: Final answer
    x = 536.63

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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.