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Finding the Fourth Proportional to 546.99, 820.27 and 176.77

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Solution

The fourth proportional to 546.99, 820.27 and 176.77 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 820.27 = 176.77 : x
  2. Step 2: Convert to fraction form
    546.99/820.27 = 176.77/x
  3. Step 3: Cross multiply
    546.99x = 820.27 × 176.77
  4. Step 4: Simplify right side
    546.99x = 144,999.13
  5. Step 5: Solve for x
    x = 144,999.13/546.99
  6. Step 6: Final answer
    x = 265.09

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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.