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Finding the Fourth Proportional to 546.49, 754.40 and 360.07

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Solution

The fourth proportional to 546.49, 754.40 and 360.07 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.49 : 754.40 = 360.07 : x
  2. Step 2: Convert to fraction form
    546.49/754.40 = 360.07/x
  3. Step 3: Cross multiply
    546.49x = 754.40 × 360.07
  4. Step 4: Simplify right side
    546.49x = 271,636.81
  5. Step 5: Solve for x
    x = 271,636.81/546.49
  6. Step 6: Final answer
    x = 497.06

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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.