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Finding the Fourth Proportional to 553.63, 830.34 and 279.66

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Solution

The fourth proportional to 553.63, 830.34 and 279.66 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.63 : 830.34 = 279.66 : x
  2. Step 2: Convert to fraction form
    553.63/830.34 = 279.66/x
  3. Step 3: Cross multiply
    553.63x = 830.34 × 279.66
  4. Step 4: Simplify right side
    553.63x = 232,212.88
  5. Step 5: Solve for x
    x = 232,212.88/553.63
  6. Step 6: Final answer
    x = 419.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.