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Finding the Fourth Proportional to 591.98, 816.79 and 368.09

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Solution

The fourth proportional to 591.98, 816.79 and 368.09 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 816.79 = 368.09 : x
  2. Step 2: Convert to fraction form
    591.98/816.79 = 368.09/x
  3. Step 3: Cross multiply
    591.98x = 816.79 × 368.09
  4. Step 4: Simplify right side
    591.98x = 300,656.61
  5. Step 5: Solve for x
    x = 300,656.61/591.98
  6. Step 6: Final answer
    x = 507.88

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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.