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Finding the Fourth Proportional to 546.05, 753.17 and 380.20

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Solution

The fourth proportional to 546.05, 753.17 and 380.20 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.05 : 753.17 = 380.20 : x
  2. Step 2: Convert to fraction form
    546.05/753.17 = 380.20/x
  3. Step 3: Cross multiply
    546.05x = 753.17 × 380.20
  4. Step 4: Simplify right side
    546.05x = 286,355.23
  5. Step 5: Solve for x
    x = 286,355.23/546.05
  6. Step 6: Final answer
    x = 524.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.