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Finding the Fourth Proportional to 552.47, 828.25 and 459.68

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Solution

The fourth proportional to 552.47, 828.25 and 459.68 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 828.25 = 459.68 : x
  2. Step 2: Convert to fraction form
    552.47/828.25 = 459.68/x
  3. Step 3: Cross multiply
    552.47x = 828.25 × 459.68
  4. Step 4: Simplify right side
    552.47x = 380,724.67
  5. Step 5: Solve for x
    x = 380,724.67/552.47
  6. Step 6: Final answer
    x = 689.14

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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.