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Finding the Fourth Proportional to 909.18, 1,362.63 and 415.44

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Solution

The fourth proportional to 909.18, 1,362.63 and 415.44 is: 622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.18 : 1,362.63 = 415.44 : x
  2. Step 2: Convert to fraction form
    909.18/1,362.63 = 415.44/x
  3. Step 3: Cross multiply
    909.18x = 1,362.63 × 415.44
  4. Step 4: Simplify right side
    909.18x = 566,091.01
  5. Step 5: Solve for x
    x = 566,091.01/909.18
  6. Step 6: Final answer
    x = 622.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.