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Finding the Fourth Proportional to 448.65, 619.14 and 262.20

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Solution

The fourth proportional to 448.65, 619.14 and 262.20 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.65 : 619.14 = 262.20 : x
  2. Step 2: Convert to fraction form
    448.65/619.14 = 262.20/x
  3. Step 3: Cross multiply
    448.65x = 619.14 × 262.20
  4. Step 4: Simplify right side
    448.65x = 162,338.51
  5. Step 5: Solve for x
    x = 162,338.51/448.65
  6. Step 6: Final answer
    x = 361.84

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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.