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Finding the Fourth Proportional to 403.94, 605.70 and 206.10

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Solution

The fourth proportional to 403.94, 605.70 and 206.10 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.94 : 605.70 = 206.10 : x
  2. Step 2: Convert to fraction form
    403.94/605.70 = 206.10/x
  3. Step 3: Cross multiply
    403.94x = 605.70 × 206.10
  4. Step 4: Simplify right side
    403.94x = 124,834.77
  5. Step 5: Solve for x
    x = 124,834.77/403.94
  6. Step 6: Final answer
    x = 309.04

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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.