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Finding the Fourth Proportional to 546.89, 820.34 and 258.53

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Solution

The fourth proportional to 546.89, 820.34 and 258.53 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.89 : 820.34 = 258.53 : x
  2. Step 2: Convert to fraction form
    546.89/820.34 = 258.53/x
  3. Step 3: Cross multiply
    546.89x = 820.34 × 258.53
  4. Step 4: Simplify right side
    546.89x = 212,081.21
  5. Step 5: Solve for x
    x = 212,081.21/546.89
  6. Step 6: Final answer
    x = 387.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.