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Finding the Fourth Proportional to 553.36, 830.44 and 451.84

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Solution

The fourth proportional to 553.36, 830.44 and 451.84 is: 678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.36 : 830.44 = 451.84 : x
  2. Step 2: Convert to fraction form
    553.36/830.44 = 451.84/x
  3. Step 3: Cross multiply
    553.36x = 830.44 × 451.84
  4. Step 4: Simplify right side
    553.36x = 375,226.01
  5. Step 5: Solve for x
    x = 375,226.01/553.36
  6. Step 6: Final answer
    x = 678.09

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Why These Related Problems?

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