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Finding the Fourth Proportional to 448.25, 618.67 and 282.35

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Solution

The fourth proportional to 448.25, 618.67 and 282.35 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 618.67 = 282.35 : x
  2. Step 2: Convert to fraction form
    448.25/618.67 = 282.35/x
  3. Step 3: Cross multiply
    448.25x = 618.67 × 282.35
  4. Step 4: Simplify right side
    448.25x = 174,678.38
  5. Step 5: Solve for x
    x = 174,678.38/448.25
  6. Step 6: Final answer
    x = 389.69

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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.