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Finding the Fourth Proportional to 511.37, 705.69 and 301.53

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Solution

The fourth proportional to 511.37, 705.69 and 301.53 is: 416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.37 : 705.69 = 301.53 : x
  2. Step 2: Convert to fraction form
    511.37/705.69 = 301.53/x
  3. Step 3: Cross multiply
    511.37x = 705.69 × 301.53
  4. Step 4: Simplify right side
    511.37x = 212,786.71
  5. Step 5: Solve for x
    x = 212,786.71/511.37
  6. Step 6: Final answer
    x = 416.12

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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.