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Finding the Fourth Proportional to 546.69, 754.23 and 360.16

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Solution

The fourth proportional to 546.69, 754.23 and 360.16 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.69 : 754.23 = 360.16 : x
  2. Step 2: Convert to fraction form
    546.69/754.23 = 360.16/x
  3. Step 3: Cross multiply
    546.69x = 754.23 × 360.16
  4. Step 4: Simplify right side
    546.69x = 271,643.48
  5. Step 5: Solve for x
    x = 271,643.48/546.69
  6. Step 6: Final answer
    x = 496.89

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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.