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Finding the Fourth Proportional to 546.54, 753.75 and 463.56

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Solution

The fourth proportional to 546.54, 753.75 and 463.56 is: 639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.54 : 753.75 = 463.56 : x
  2. Step 2: Convert to fraction form
    546.54/753.75 = 463.56/x
  3. Step 3: Cross multiply
    546.54x = 753.75 × 463.56
  4. Step 4: Simplify right side
    546.54x = 349,408.35
  5. Step 5: Solve for x
    x = 349,408.35/546.54
  6. Step 6: Final answer
    x = 639.31

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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.