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Finding the Fourth Proportional to 552.66, 828.71 and 309.12

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Solution

The fourth proportional to 552.66, 828.71 and 309.12 is: 463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 828.71 = 309.12 : x
  2. Step 2: Convert to fraction form
    552.66/828.71 = 309.12/x
  3. Step 3: Cross multiply
    552.66x = 828.71 × 309.12
  4. Step 4: Simplify right side
    552.66x = 256,170.84
  5. Step 5: Solve for x
    x = 256,170.84/552.66
  6. Step 6: Final answer
    x = 463.52

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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.