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Finding the Fourth Proportional to 553.95, 764.18 and 365.16

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Solution

The fourth proportional to 553.95, 764.18 and 365.16 is: 503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 764.18 = 365.16 : x
  2. Step 2: Convert to fraction form
    553.95/764.18 = 365.16/x
  3. Step 3: Cross multiply
    553.95x = 764.18 × 365.16
  4. Step 4: Simplify right side
    553.95x = 279,046.14
  5. Step 5: Solve for x
    x = 279,046.14/553.95
  6. Step 6: Final answer
    x = 503.74

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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.