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Finding the Fourth Proportional to 540.84, 811.09 and 175.55

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Solution

The fourth proportional to 540.84, 811.09 and 175.55 is: 263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 811.09 = 175.55 : x
  2. Step 2: Convert to fraction form
    540.84/811.09 = 175.55/x
  3. Step 3: Cross multiply
    540.84x = 811.09 × 175.55
  4. Step 4: Simplify right side
    540.84x = 142,386.85
  5. Step 5: Solve for x
    x = 142,386.85/540.84
  6. Step 6: Final answer
    x = 263.27

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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.