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Finding the Fourth Proportional to 546.84, 754.56 and 313.92

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Solution

The fourth proportional to 546.84, 754.56 and 313.92 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.84 : 754.56 = 313.92 : x
  2. Step 2: Convert to fraction form
    546.84/754.56 = 313.92/x
  3. Step 3: Cross multiply
    546.84x = 754.56 × 313.92
  4. Step 4: Simplify right side
    546.84x = 236,871.48
  5. Step 5: Solve for x
    x = 236,871.48/546.84
  6. Step 6: Final answer
    x = 433.16

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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.