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Finding the Fourth Proportional to 573.80, 805.75 and 573.80

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Solution

The fourth proportional to 573.80, 805.75 and 573.80 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 805.75 = 573.80 : x
  2. Step 2: Convert to fraction form
    573.80/805.75 = 573.80/x
  3. Step 3: Cross multiply
    573.80x = 805.75 × 573.80
  4. Step 4: Simplify right side
    573.80x = 462,339.35
  5. Step 5: Solve for x
    x = 462,339.35/573.80
  6. Step 6: Final answer
    x = 805.75

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Why These Related Problems?

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