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Finding the Fourth Proportional to 546.94, 820.11 and 352.24

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Solution

The fourth proportional to 546.94, 820.11 and 352.24 is: 528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 820.11 = 352.24 : x
  2. Step 2: Convert to fraction form
    546.94/820.11 = 352.24/x
  3. Step 3: Cross multiply
    546.94x = 820.11 × 352.24
  4. Step 4: Simplify right side
    546.94x = 288,875.55
  5. Step 5: Solve for x
    x = 288,875.55/546.94
  6. Step 6: Final answer
    x = 528.17

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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.