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Finding the Fourth Proportional to 546.41, 754.14 and 313.53

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Solution

The fourth proportional to 546.41, 754.14 and 313.53 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.41 : 754.14 = 313.53 : x
  2. Step 2: Convert to fraction form
    546.41/754.14 = 313.53/x
  3. Step 3: Cross multiply
    546.41x = 754.14 × 313.53
  4. Step 4: Simplify right side
    546.41x = 236,445.51
  5. Step 5: Solve for x
    x = 236,445.51/546.41
  6. Step 6: Final answer
    x = 432.73

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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.