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Finding the Fourth Proportional to 613.17, 918.90 and 406.80

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Solution

The fourth proportional to 613.17, 918.90 and 406.80 is: 609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.17 : 918.90 = 406.80 : x
  2. Step 2: Convert to fraction form
    613.17/918.90 = 406.80/x
  3. Step 3: Cross multiply
    613.17x = 918.90 × 406.80
  4. Step 4: Simplify right side
    613.17x = 373,808.52
  5. Step 5: Solve for x
    x = 373,808.52/613.17
  6. Step 6: Final answer
    x = 609.63

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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.