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Finding the Fourth Proportional to 553.52, 763.85 and 304.84

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Solution

The fourth proportional to 553.52, 763.85 and 304.84 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.52 : 763.85 = 304.84 : x
  2. Step 2: Convert to fraction form
    553.52/763.85 = 304.84/x
  3. Step 3: Cross multiply
    553.52x = 763.85 × 304.84
  4. Step 4: Simplify right side
    553.52x = 232,850.89
  5. Step 5: Solve for x
    x = 232,850.89/553.52
  6. Step 6: Final answer
    x = 420.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.