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Finding the Fourth Proportional to 540.49, 810.88 and 175.32

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Solution

The fourth proportional to 540.49, 810.88 and 175.32 is: 263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.49 : 810.88 = 175.32 : x
  2. Step 2: Convert to fraction form
    540.49/810.88 = 175.32/x
  3. Step 3: Cross multiply
    540.49x = 810.88 × 175.32
  4. Step 4: Simplify right side
    540.49x = 142,163.48
  5. Step 5: Solve for x
    x = 142,163.48/540.49
  6. Step 6: Final answer
    x = 263.03

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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.