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Finding the Fourth Proportional to 447.04, 670.70 and 230.46

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Solution

The fourth proportional to 447.04, 670.70 and 230.46 is: 345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.04 : 670.70 = 230.46 : x
  2. Step 2: Convert to fraction form
    447.04/670.70 = 230.46/x
  3. Step 3: Cross multiply
    447.04x = 670.70 × 230.46
  4. Step 4: Simplify right side
    447.04x = 154,570.10
  5. Step 5: Solve for x
    x = 154,570.10/447.04
  6. Step 6: Final answer
    x = 345.77

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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.