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Finding the Fourth Proportional to 448.61, 618.84 and 262.04

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Solution

The fourth proportional to 448.61, 618.84 and 262.04 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.61 : 618.84 = 262.04 : x
  2. Step 2: Convert to fraction form
    448.61/618.84 = 262.04/x
  3. Step 3: Cross multiply
    448.61x = 618.84 × 262.04
  4. Step 4: Simplify right side
    448.61x = 162,157.74
  5. Step 5: Solve for x
    x = 162,157.74/448.61
  6. Step 6: Final answer
    x = 361.47

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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.