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Finding the Fourth Proportional to 546.94, 754.75 and 314.07

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Solution

The fourth proportional to 546.94, 754.75 and 314.07 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 754.75 = 314.07 : x
  2. Step 2: Convert to fraction form
    546.94/754.75 = 314.07/x
  3. Step 3: Cross multiply
    546.94x = 754.75 × 314.07
  4. Step 4: Simplify right side
    546.94x = 237,039.77
  5. Step 5: Solve for x
    x = 237,039.77/546.94
  6. Step 6: Final answer
    x = 433.39

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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.