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Finding the Fourth Proportional to 553.08, 830.16 and 451.61

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Solution

The fourth proportional to 553.08, 830.16 and 451.61 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 830.16 = 451.61 : x
  2. Step 2: Convert to fraction form
    553.08/830.16 = 451.61/x
  3. Step 3: Cross multiply
    553.08x = 830.16 × 451.61
  4. Step 4: Simplify right side
    553.08x = 374,904.41
  5. Step 5: Solve for x
    x = 374,904.41/553.08
  6. Step 6: Final answer
    x = 677.85

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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.