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Finding the Fourth Proportional to 448.40, 618.70 and 251.84

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Solution

The fourth proportional to 448.40, 618.70 and 251.84 is: 347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.40 : 618.70 = 251.84 : x
  2. Step 2: Convert to fraction form
    448.40/618.70 = 251.84/x
  3. Step 3: Cross multiply
    448.40x = 618.70 × 251.84
  4. Step 4: Simplify right side
    448.40x = 155,813.41
  5. Step 5: Solve for x
    x = 155,813.41/448.40
  6. Step 6: Final answer
    x = 347.49

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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.