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Finding the Fourth Proportional to 511.07, 705.38 and 345.56

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Solution

The fourth proportional to 511.07, 705.38 and 345.56 is: 476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.07 : 705.38 = 345.56 : x
  2. Step 2: Convert to fraction form
    511.07/705.38 = 345.56/x
  3. Step 3: Cross multiply
    511.07x = 705.38 × 345.56
  4. Step 4: Simplify right side
    511.07x = 243,745.86
  5. Step 5: Solve for x
    x = 243,745.86/511.07
  6. Step 6: Final answer
    x = 476.94

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Why These Related Problems?

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