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Finding the Fourth Proportional to 546.11, 753.23 and 420.06

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Solution

The fourth proportional to 546.11, 753.23 and 420.06 is: 579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.11 : 753.23 = 420.06 : x
  2. Step 2: Convert to fraction form
    546.11/753.23 = 420.06/x
  3. Step 3: Cross multiply
    546.11x = 753.23 × 420.06
  4. Step 4: Simplify right side
    546.11x = 316,401.79
  5. Step 5: Solve for x
    x = 316,401.79/546.11
  6. Step 6: Final answer
    x = 579.37

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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.