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Finding the Fourth Proportional to 552.88, 830.40 and 450.24

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Solution

The fourth proportional to 552.88, 830.40 and 450.24 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.88 : 830.40 = 450.24 : x
  2. Step 2: Convert to fraction form
    552.88/830.40 = 450.24/x
  3. Step 3: Cross multiply
    552.88x = 830.40 × 450.24
  4. Step 4: Simplify right side
    552.88x = 373,879.30
  5. Step 5: Solve for x
    x = 373,879.30/552.88
  6. Step 6: Final answer
    x = 676.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.