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Finding the Fourth Proportional to 511.00, 705.15 and 289.94

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Solution

The fourth proportional to 511.00, 705.15 and 289.94 is: 400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.00 : 705.15 = 289.94 : x
  2. Step 2: Convert to fraction form
    511.00/705.15 = 289.94/x
  3. Step 3: Cross multiply
    511.00x = 705.15 × 289.94
  4. Step 4: Simplify right side
    511.00x = 204,447.67
  5. Step 5: Solve for x
    x = 204,447.67/511.00
  6. Step 6: Final answer
    x = 400.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.