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Finding the Fourth Proportional to 546.22, 753.56 and 389.14

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Solution

The fourth proportional to 546.22, 753.56 and 389.14 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.22 : 753.56 = 389.14 : x
  2. Step 2: Convert to fraction form
    546.22/753.56 = 389.14/x
  3. Step 3: Cross multiply
    546.22x = 753.56 × 389.14
  4. Step 4: Simplify right side
    546.22x = 293,240.34
  5. Step 5: Solve for x
    x = 293,240.34/546.22
  6. Step 6: Final answer
    x = 536.85

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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.