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Finding the Fourth Proportional to 448.50, 619.11 and 283.08

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Solution

The fourth proportional to 448.50, 619.11 and 283.08 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.50 : 619.11 = 283.08 : x
  2. Step 2: Convert to fraction form
    448.50/619.11 = 283.08/x
  3. Step 3: Cross multiply
    448.50x = 619.11 × 283.08
  4. Step 4: Simplify right side
    448.50x = 175,257.66
  5. Step 5: Solve for x
    x = 175,257.66/448.50
  6. Step 6: Final answer
    x = 390.76

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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.