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Finding the Fourth Proportional to 511.21, 705.45 and 314.83

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Solution

The fourth proportional to 511.21, 705.45 and 314.83 is: 434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.21 : 705.45 = 314.83 : x
  2. Step 2: Convert to fraction form
    511.21/705.45 = 314.83/x
  3. Step 3: Cross multiply
    511.21x = 705.45 × 314.83
  4. Step 4: Simplify right side
    511.21x = 222,096.82
  5. Step 5: Solve for x
    x = 222,096.82/511.21
  6. Step 6: Final answer
    x = 434.45

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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.