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Finding the Fourth Proportional to 562.08, 775.86 and 365.82

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Solution

The fourth proportional to 562.08, 775.86 and 365.82 is: 504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.08 : 775.86 = 365.82 : x
  2. Step 2: Convert to fraction form
    562.08/775.86 = 365.82/x
  3. Step 3: Cross multiply
    562.08x = 775.86 × 365.82
  4. Step 4: Simplify right side
    562.08x = 283,825.11
  5. Step 5: Solve for x
    x = 283,825.11/562.08
  6. Step 6: Final answer
    x = 504.95

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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.