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Finding the Fourth Proportional to 540.34, 810.29 and 193.68

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Solution

The fourth proportional to 540.34, 810.29 and 193.68 is: 290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 810.29 = 193.68 : x
  2. Step 2: Convert to fraction form
    540.34/810.29 = 193.68/x
  3. Step 3: Cross multiply
    540.34x = 810.29 × 193.68
  4. Step 4: Simplify right side
    540.34x = 156,937.45
  5. Step 5: Solve for x
    x = 156,937.45/540.34
  6. Step 6: Final answer
    x = 290.44

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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.