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Finding the Fourth Proportional to 546.10, 753.77 and 346.96

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Solution

The fourth proportional to 546.10, 753.77 and 346.96 is: 478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.10 : 753.77 = 346.96 : x
  2. Step 2: Convert to fraction form
    546.10/753.77 = 346.96/x
  3. Step 3: Cross multiply
    546.10x = 753.77 × 346.96
  4. Step 4: Simplify right side
    546.10x = 261,528.04
  5. Step 5: Solve for x
    x = 261,528.04/546.10
  6. Step 6: Final answer
    x = 478.90

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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.