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Finding the Fourth Proportional to 511.32, 705.78 and 301.62

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Solution

The fourth proportional to 511.32, 705.78 and 301.62 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 705.78 = 301.62 : x
  2. Step 2: Convert to fraction form
    511.32/705.78 = 301.62/x
  3. Step 3: Cross multiply
    511.32x = 705.78 × 301.62
  4. Step 4: Simplify right side
    511.32x = 212,877.36
  5. Step 5: Solve for x
    x = 212,877.36/511.32
  6. Step 6: Final answer
    x = 416.33

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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.