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Finding the Fourth Proportional to 448.44, 619.14 and 282.90

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Solution

The fourth proportional to 448.44, 619.14 and 282.90 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.44 : 619.14 = 282.90 : x
  2. Step 2: Convert to fraction form
    448.44/619.14 = 282.90/x
  3. Step 3: Cross multiply
    448.44x = 619.14 × 282.90
  4. Step 4: Simplify right side
    448.44x = 175,154.71
  5. Step 5: Solve for x
    x = 175,154.71/448.44
  6. Step 6: Final answer
    x = 390.59

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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.