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Finding the Fourth Proportional to 546.94, 754.77 and 314.06

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Solution

The fourth proportional to 546.94, 754.77 and 314.06 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 754.77 = 314.06 : x
  2. Step 2: Convert to fraction form
    546.94/754.77 = 314.06/x
  3. Step 3: Cross multiply
    546.94x = 754.77 × 314.06
  4. Step 4: Simplify right side
    546.94x = 237,043.07
  5. Step 5: Solve for x
    x = 237,043.07/546.94
  6. Step 6: Final answer
    x = 433.40

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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.