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Finding the Fourth Proportional to 511.58, 705.93 and 301.74

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Solution

The fourth proportional to 511.58, 705.93 and 301.74 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 705.93 = 301.74 : x
  2. Step 2: Convert to fraction form
    511.58/705.93 = 301.74/x
  3. Step 3: Cross multiply
    511.58x = 705.93 × 301.74
  4. Step 4: Simplify right side
    511.58x = 213,007.32
  5. Step 5: Solve for x
    x = 213,007.32/511.58
  6. Step 6: Final answer
    x = 416.38

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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.