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Finding the Fourth Proportional to 546.96, 820.08 and 258

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Solution

The fourth proportional to 546.96, 820.08 and 258 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 820.08 = 258 : x
  2. Step 2: Convert to fraction form
    546.96/820.08 = 258/x
  3. Step 3: Cross multiply
    546.96x = 820.08 × 258
  4. Step 4: Simplify right side
    546.96x = 211,580.64
  5. Step 5: Solve for x
    x = 211,580.64/546.96
  6. Step 6: Final answer
    x = 386.83

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