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Finding the Fourth Proportional to 574.80, 805.80 and 574.80

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Solution

The fourth proportional to 574.80, 805.80 and 574.80 is: 805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 805.80 = 574.80 : x
  2. Step 2: Convert to fraction form
    574.80/805.80 = 574.80/x
  3. Step 3: Cross multiply
    574.80x = 805.80 × 574.80
  4. Step 4: Simplify right side
    574.80x = 463,173.84
  5. Step 5: Solve for x
    x = 463,173.84/574.80
  6. Step 6: Final answer
    x = 805.80

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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.