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Finding the Fourth Proportional to 553.63, 764.02 and 357.21

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Solution

The fourth proportional to 553.63, 764.02 and 357.21 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.63 : 764.02 = 357.21 : x
  2. Step 2: Convert to fraction form
    553.63/764.02 = 357.21/x
  3. Step 3: Cross multiply
    553.63x = 764.02 × 357.21
  4. Step 4: Simplify right side
    553.63x = 272,915.58
  5. Step 5: Solve for x
    x = 272,915.58/553.63
  6. Step 6: Final answer
    x = 492.96

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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.