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Finding the Fourth Proportional to 546.78, 754.68 and 314.04

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Solution

The fourth proportional to 546.78, 754.68 and 314.04 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 754.68 = 314.04 : x
  2. Step 2: Convert to fraction form
    546.78/754.68 = 314.04/x
  3. Step 3: Cross multiply
    546.78x = 754.68 × 314.04
  4. Step 4: Simplify right side
    546.78x = 236,999.71
  5. Step 5: Solve for x
    x = 236,999.71/546.78
  6. Step 6: Final answer
    x = 433.45

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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.