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Finding the Fourth Proportional to 362.61, 546.33 and 334.59

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Solution

The fourth proportional to 362.61, 546.33 and 334.59 is: 504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.61 : 546.33 = 334.59 : x
  2. Step 2: Convert to fraction form
    362.61/546.33 = 334.59/x
  3. Step 3: Cross multiply
    362.61x = 546.33 × 334.59
  4. Step 4: Simplify right side
    362.61x = 182,796.55
  5. Step 5: Solve for x
    x = 182,796.55/362.61
  6. Step 6: Final answer
    x = 504.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.