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Finding the Fourth Proportional to 546.88, 754.50 and 313.87

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Solution

The fourth proportional to 546.88, 754.50 and 313.87 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.88 : 754.50 = 313.87 : x
  2. Step 2: Convert to fraction form
    546.88/754.50 = 313.87/x
  3. Step 3: Cross multiply
    546.88x = 754.50 × 313.87
  4. Step 4: Simplify right side
    546.88x = 236,814.92
  5. Step 5: Solve for x
    x = 236,814.92/546.88
  6. Step 6: Final answer
    x = 433.03

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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.