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Finding the Fourth Proportional to 546.76, 755.72 and 436.06

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Solution

The fourth proportional to 546.76, 755.72 and 436.06 is: 602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 755.72 = 436.06 : x
  2. Step 2: Convert to fraction form
    546.76/755.72 = 436.06/x
  3. Step 3: Cross multiply
    546.76x = 755.72 × 436.06
  4. Step 4: Simplify right side
    546.76x = 329,539.26
  5. Step 5: Solve for x
    x = 329,539.26/546.76
  6. Step 6: Final answer
    x = 602.71

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