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Finding the Fourth Proportional to 448, 618 and 300.38

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Solution

The fourth proportional to 448, 618 and 300.38 is: 414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 618 = 300.38 : x
  2. Step 2: Convert to fraction form
    448/618 = 300.38/x
  3. Step 3: Cross multiply
    448x = 618 × 300.38
  4. Step 4: Simplify right side
    448x = 185,634.84
  5. Step 5: Solve for x
    x = 185,634.84/448
  6. Step 6: Final answer
    x = 414.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.