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Finding the Fourth Proportional to 403.56, 605.98 and 349.80

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Solution

The fourth proportional to 403.56, 605.98 and 349.80 is: 525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.56 : 605.98 = 349.80 : x
  2. Step 2: Convert to fraction form
    403.56/605.98 = 349.80/x
  3. Step 3: Cross multiply
    403.56x = 605.98 × 349.80
  4. Step 4: Simplify right side
    403.56x = 211,971.80
  5. Step 5: Solve for x
    x = 211,971.80/403.56
  6. Step 6: Final answer
    x = 525.25

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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.