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Finding the Fourth Proportional to 562.30, 775.84 and 365.74

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Solution

The fourth proportional to 562.30, 775.84 and 365.74 is: 504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.30 : 775.84 = 365.74 : x
  2. Step 2: Convert to fraction form
    562.30/775.84 = 365.74/x
  3. Step 3: Cross multiply
    562.30x = 775.84 × 365.74
  4. Step 4: Simplify right side
    562.30x = 283,755.72
  5. Step 5: Solve for x
    x = 283,755.72/562.30
  6. Step 6: Final answer
    x = 504.63

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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.