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Finding the Fourth Proportional to 674.84, 1,012.25 and 242.00

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Solution

The fourth proportional to 674.84, 1,012.25 and 242.00 is: 363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 1,012.25 = 242.00 : x
  2. Step 2: Convert to fraction form
    674.84/1,012.25 = 242.00/x
  3. Step 3: Cross multiply
    674.84x = 1,012.25 × 242.00
  4. Step 4: Simplify right side
    674.84x = 244,967.64
  5. Step 5: Solve for x
    x = 244,967.64/674.84
  6. Step 6: Final answer
    x = 363.00

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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.