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Finding the Fourth Proportional to 546.35, 753.63 and 359.77

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Solution

The fourth proportional to 546.35, 753.63 and 359.77 is: 496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.35 : 753.63 = 359.77 : x
  2. Step 2: Convert to fraction form
    546.35/753.63 = 359.77/x
  3. Step 3: Cross multiply
    546.35x = 753.63 × 359.77
  4. Step 4: Simplify right side
    546.35x = 271,130.54
  5. Step 5: Solve for x
    x = 271,130.54/546.35
  6. Step 6: Final answer
    x = 496.26

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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.