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Finding the Fourth Proportional to 577.68, 866.49 and 334.05

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Solution

The fourth proportional to 577.68, 866.49 and 334.05 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 866.49 = 334.05 : x
  2. Step 2: Convert to fraction form
    577.68/866.49 = 334.05/x
  3. Step 3: Cross multiply
    577.68x = 866.49 × 334.05
  4. Step 4: Simplify right side
    577.68x = 289,450.98
  5. Step 5: Solve for x
    x = 289,450.98/577.68
  6. Step 6: Final answer
    x = 501.06

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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.