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Finding the Fourth Proportional to 546.29, 754.30 and 360.04

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Solution

The fourth proportional to 546.29, 754.30 and 360.04 is: 497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.29 : 754.30 = 360.04 : x
  2. Step 2: Convert to fraction form
    546.29/754.30 = 360.04/x
  3. Step 3: Cross multiply
    546.29x = 754.30 × 360.04
  4. Step 4: Simplify right side
    546.29x = 271,581.26
  5. Step 5: Solve for x
    x = 271,581.26/546.29
  6. Step 6: Final answer
    x = 497.13

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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.