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Finding the Fourth Proportional to 562.05, 775.80 and 365.57

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Solution

The fourth proportional to 562.05, 775.80 and 365.57 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 775.80 = 365.57 : x
  2. Step 2: Convert to fraction form
    562.05/775.80 = 365.57/x
  3. Step 3: Cross multiply
    562.05x = 775.80 × 365.57
  4. Step 4: Simplify right side
    562.05x = 283,605.33
  5. Step 5: Solve for x
    x = 283,605.33/562.05
  6. Step 6: Final answer
    x = 504.59

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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.