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Finding the Fourth Proportional to 553.10, 762.72 and 356.26

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Solution

The fourth proportional to 553.10, 762.72 and 356.26 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 762.72 = 356.26 : x
  2. Step 2: Convert to fraction form
    553.10/762.72 = 356.26/x
  3. Step 3: Cross multiply
    553.10x = 762.72 × 356.26
  4. Step 4: Simplify right side
    553.10x = 271,726.63
  5. Step 5: Solve for x
    x = 271,726.63/553.10
  6. Step 6: Final answer
    x = 491.28

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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.