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Finding the Fourth Proportional to 505.82, 698.02 and 339.78

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Solution

The fourth proportional to 505.82, 698.02 and 339.78 is: 468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.82 : 698.02 = 339.78 : x
  2. Step 2: Convert to fraction form
    505.82/698.02 = 339.78/x
  3. Step 3: Cross multiply
    505.82x = 698.02 × 339.78
  4. Step 4: Simplify right side
    505.82x = 237,173.24
  5. Step 5: Solve for x
    x = 237,173.24/505.82
  6. Step 6: Final answer
    x = 468.89

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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.