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Finding the Fourth Proportional to 562.51, 775.74 and 365.95

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Solution

The fourth proportional to 562.51, 775.74 and 365.95 is: 504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.51 : 775.74 = 365.95 : x
  2. Step 2: Convert to fraction form
    562.51/775.74 = 365.95/x
  3. Step 3: Cross multiply
    562.51x = 775.74 × 365.95
  4. Step 4: Simplify right side
    562.51x = 283,882.05
  5. Step 5: Solve for x
    x = 283,882.05/562.51
  6. Step 6: Final answer
    x = 504.67

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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.