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Finding the Fourth Proportional to 606.95, 909.23 and 412.55

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Solution

The fourth proportional to 606.95, 909.23 and 412.55 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.95 : 909.23 = 412.55 : x
  2. Step 2: Convert to fraction form
    606.95/909.23 = 412.55/x
  3. Step 3: Cross multiply
    606.95x = 909.23 × 412.55
  4. Step 4: Simplify right side
    606.95x = 375,100.77
  5. Step 5: Solve for x
    x = 375,100.77/606.95
  6. Step 6: Final answer
    x = 618.01

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