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Finding the Fourth Proportional to 546.94, 755.08 and 360.87

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Solution

The fourth proportional to 546.94, 755.08 and 360.87 is: 498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 755.08 = 360.87 : x
  2. Step 2: Convert to fraction form
    546.94/755.08 = 360.87/x
  3. Step 3: Cross multiply
    546.94x = 755.08 × 360.87
  4. Step 4: Simplify right side
    546.94x = 272,490.36
  5. Step 5: Solve for x
    x = 272,490.36/546.94
  6. Step 6: Final answer
    x = 498.21

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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.