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Finding the Fourth Proportional to 552.69, 828.98 and 346.64

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Solution

The fourth proportional to 552.69, 828.98 and 346.64 is: 519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 828.98 = 346.64 : x
  2. Step 2: Convert to fraction form
    552.69/828.98 = 346.64/x
  3. Step 3: Cross multiply
    552.69x = 828.98 × 346.64
  4. Step 4: Simplify right side
    552.69x = 287,354.35
  5. Step 5: Solve for x
    x = 287,354.35/552.69
  6. Step 6: Final answer
    x = 519.92

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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.