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Finding the Fourth Proportional to 553.76, 830.76 and 169

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Solution

The fourth proportional to 553.76, 830.76 and 169 is: 253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.76 : 830.76 = 169 : x
  2. Step 2: Convert to fraction form
    553.76/830.76 = 169/x
  3. Step 3: Cross multiply
    553.76x = 830.76 × 169
  4. Step 4: Simplify right side
    553.76x = 140,398.44
  5. Step 5: Solve for x
    x = 140,398.44/553.76
  6. Step 6: Final answer
    x = 253.54

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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.