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Finding the Fourth Proportional to 552.83, 828.32 and 292.46

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Solution

The fourth proportional to 552.83, 828.32 and 292.46 is: 438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.83 : 828.32 = 292.46 : x
  2. Step 2: Convert to fraction form
    552.83/828.32 = 292.46/x
  3. Step 3: Cross multiply
    552.83x = 828.32 × 292.46
  4. Step 4: Simplify right side
    552.83x = 242,244.86
  5. Step 5: Solve for x
    x = 242,244.86/552.83
  6. Step 6: Final answer
    x = 438.19

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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.