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Finding the Fourth Proportional to 546.90, 755.19 and 436.86

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Solution

The fourth proportional to 546.90, 755.19 and 436.86 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 755.19 = 436.86 : x
  2. Step 2: Convert to fraction form
    546.90/755.19 = 436.86/x
  3. Step 3: Cross multiply
    546.90x = 755.19 × 436.86
  4. Step 4: Simplify right side
    546.90x = 329,912.30
  5. Step 5: Solve for x
    x = 329,912.30/546.90
  6. Step 6: Final answer
    x = 603.24

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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.