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Finding the Fourth Proportional to 546.55, 754.17 and 313.66

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Solution

The fourth proportional to 546.55, 754.17 and 313.66 is: 432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.55 : 754.17 = 313.66 : x
  2. Step 2: Convert to fraction form
    546.55/754.17 = 313.66/x
  3. Step 3: Cross multiply
    546.55x = 754.17 × 313.66
  4. Step 4: Simplify right side
    546.55x = 236,552.96
  5. Step 5: Solve for x
    x = 236,552.96/546.55
  6. Step 6: Final answer
    x = 432.81

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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.