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Finding the Fourth Proportional to 400.09, 599.62 and 204.93

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Solution

The fourth proportional to 400.09, 599.62 and 204.93 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.09 : 599.62 = 204.93 : x
  2. Step 2: Convert to fraction form
    400.09/599.62 = 204.93/x
  3. Step 3: Cross multiply
    400.09x = 599.62 × 204.93
  4. Step 4: Simplify right side
    400.09x = 122,877.74
  5. Step 5: Solve for x
    x = 122,877.74/400.09
  6. Step 6: Final answer
    x = 307.12

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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.