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Finding the Fourth Proportional to 553.86, 830.94 and 452.10

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Solution

The fourth proportional to 553.86, 830.94 and 452.10 is: 678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 830.94 = 452.10 : x
  2. Step 2: Convert to fraction form
    553.86/830.94 = 452.10/x
  3. Step 3: Cross multiply
    553.86x = 830.94 × 452.10
  4. Step 4: Simplify right side
    553.86x = 375,667.97
  5. Step 5: Solve for x
    x = 375,667.97/553.86
  6. Step 6: Final answer
    x = 678.27

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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.