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Finding the Fourth Proportional to 448.86, 669.61 and 414.44

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Solution

The fourth proportional to 448.86, 669.61 and 414.44 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 669.61 = 414.44 : x
  2. Step 2: Convert to fraction form
    448.86/669.61 = 414.44/x
  3. Step 3: Cross multiply
    448.86x = 669.61 × 414.44
  4. Step 4: Simplify right side
    448.86x = 277,513.17
  5. Step 5: Solve for x
    x = 277,513.17/448.86
  6. Step 6: Final answer
    x = 618.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.