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Finding the Fourth Proportional to 448.61, 619.12 and 262.06

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Solution

The fourth proportional to 448.61, 619.12 and 262.06 is: 361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.61 : 619.12 = 262.06 : x
  2. Step 2: Convert to fraction form
    448.61/619.12 = 262.06/x
  3. Step 3: Cross multiply
    448.61x = 619.12 × 262.06
  4. Step 4: Simplify right side
    448.61x = 162,246.59
  5. Step 5: Solve for x
    x = 162,246.59/448.61
  6. Step 6: Final answer
    x = 361.67

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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.