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Finding the Fourth Proportional to 511.98, 706.69 and 335.06

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Solution

The fourth proportional to 511.98, 706.69 and 335.06 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 706.69 = 335.06 : x
  2. Step 2: Convert to fraction form
    511.98/706.69 = 335.06/x
  3. Step 3: Cross multiply
    511.98x = 706.69 × 335.06
  4. Step 4: Simplify right side
    511.98x = 236,783.55
  5. Step 5: Solve for x
    x = 236,783.55/511.98
  6. Step 6: Final answer
    x = 462.49

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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.