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Finding the Fourth Proportional to 553.32, 828.50 and 450.18

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Solution

The fourth proportional to 553.32, 828.50 and 450.18 is: 674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.32 : 828.50 = 450.18 : x
  2. Step 2: Convert to fraction form
    553.32/828.50 = 450.18/x
  3. Step 3: Cross multiply
    553.32x = 828.50 × 450.18
  4. Step 4: Simplify right side
    553.32x = 372,971.88
  5. Step 5: Solve for x
    x = 372,971.88/553.32
  6. Step 6: Final answer
    x = 674.06

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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.