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Finding the Fourth Proportional to 511.45, 705.55 and 371.35

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Solution

The fourth proportional to 511.45, 705.55 and 371.35 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 705.55 = 371.35 : x
  2. Step 2: Convert to fraction form
    511.45/705.55 = 371.35/x
  3. Step 3: Cross multiply
    511.45x = 705.55 × 371.35
  4. Step 4: Simplify right side
    511.45x = 262,005.99
  5. Step 5: Solve for x
    x = 262,005.99/511.45
  6. Step 6: Final answer
    x = 512.28

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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.