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Finding the Fourth Proportional to 591.07, 816.80 and 443.45

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Solution

The fourth proportional to 591.07, 816.80 and 443.45 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.07 : 816.80 = 443.45 : x
  2. Step 2: Convert to fraction form
    591.07/816.80 = 443.45/x
  3. Step 3: Cross multiply
    591.07x = 816.80 × 443.45
  4. Step 4: Simplify right side
    591.07x = 362,207.92
  5. Step 5: Solve for x
    x = 362,207.92/591.07
  6. Step 6: Final answer
    x = 612.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.