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Finding the Fourth Proportional to 552.63, 828.21 and 292.59

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Solution

The fourth proportional to 552.63, 828.21 and 292.59 is: 438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.63 : 828.21 = 292.59 : x
  2. Step 2: Convert to fraction form
    552.63/828.21 = 292.59/x
  3. Step 3: Cross multiply
    552.63x = 828.21 × 292.59
  4. Step 4: Simplify right side
    552.63x = 242,325.96
  5. Step 5: Solve for x
    x = 242,325.96/552.63
  6. Step 6: Final answer
    x = 438.50

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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.