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Finding the Fourth Proportional to 546.63, 753.75 and 359.88

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Solution

The fourth proportional to 546.63, 753.75 and 359.88 is: 496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.63 : 753.75 = 359.88 : x
  2. Step 2: Convert to fraction form
    546.63/753.75 = 359.88/x
  3. Step 3: Cross multiply
    546.63x = 753.75 × 359.88
  4. Step 4: Simplify right side
    546.63x = 271,259.55
  5. Step 5: Solve for x
    x = 271,259.55/546.63
  6. Step 6: Final answer
    x = 496.24

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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.