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Finding the Fourth Proportional to 552.60, 829.04 and 321.70

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Solution

The fourth proportional to 552.60, 829.04 and 321.70 is: 482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 829.04 = 321.70 : x
  2. Step 2: Convert to fraction form
    552.60/829.04 = 321.70/x
  3. Step 3: Cross multiply
    552.60x = 829.04 × 321.70
  4. Step 4: Simplify right side
    552.60x = 266,702.17
  5. Step 5: Solve for x
    x = 266,702.17/552.60
  6. Step 6: Final answer
    x = 482.63

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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.