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Finding the Fourth Proportional to 591.80, 829.60 and 591.80

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Solution

The fourth proportional to 591.80, 829.60 and 591.80 is: 829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.80 : 829.60 = 591.80 : x
  2. Step 2: Convert to fraction form
    591.80/829.60 = 591.80/x
  3. Step 3: Cross multiply
    591.80x = 829.60 × 591.80
  4. Step 4: Simplify right side
    591.80x = 490,957.28
  5. Step 5: Solve for x
    x = 490,957.28/591.80
  6. Step 6: Final answer
    x = 829.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.