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Finding the Fourth Proportional to 546.48, 820.02 and 302.97

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Solution

The fourth proportional to 546.48, 820.02 and 302.97 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 820.02 = 302.97 : x
  2. Step 2: Convert to fraction form
    546.48/820.02 = 302.97/x
  3. Step 3: Cross multiply
    546.48x = 820.02 × 302.97
  4. Step 4: Simplify right side
    546.48x = 248,441.46
  5. Step 5: Solve for x
    x = 248,441.46/546.48
  6. Step 6: Final answer
    x = 454.62

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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.