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Finding the Fourth Proportional to 790.24, 1,185.42 and 242.44

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Solution

The fourth proportional to 790.24, 1,185.42 and 242.44 is: 363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.24 : 1,185.42 = 242.44 : x
  2. Step 2: Convert to fraction form
    790.24/1,185.42 = 242.44/x
  3. Step 3: Cross multiply
    790.24x = 1,185.42 × 242.44
  4. Step 4: Simplify right side
    790.24x = 287,393.22
  5. Step 5: Solve for x
    x = 287,393.22/790.24
  6. Step 6: Final answer
    x = 363.68

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1.5x scale

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.