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Finding the Fourth Proportional to 547.96, 821.76 and 342.76

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Solution

The fourth proportional to 547.96, 821.76 and 342.76 is: 514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.96 : 821.76 = 342.76 : x
  2. Step 2: Convert to fraction form
    547.96/821.76 = 342.76/x
  3. Step 3: Cross multiply
    547.96x = 821.76 × 342.76
  4. Step 4: Simplify right side
    547.96x = 281,666.46
  5. Step 5: Solve for x
    x = 281,666.46/547.96
  6. Step 6: Final answer
    x = 514.03

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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.