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Finding the Fourth Proportional to 591.73, 816.24 and 370.29

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Solution

The fourth proportional to 591.73, 816.24 and 370.29 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.73 : 816.24 = 370.29 : x
  2. Step 2: Convert to fraction form
    591.73/816.24 = 370.29/x
  3. Step 3: Cross multiply
    591.73x = 816.24 × 370.29
  4. Step 4: Simplify right side
    591.73x = 302,245.51
  5. Step 5: Solve for x
    x = 302,245.51/591.73
  6. Step 6: Final answer
    x = 510.78

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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.