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Finding the Fourth Proportional to 540.98, 811.53 and 175.76

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Solution

The fourth proportional to 540.98, 811.53 and 175.76 is: 263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 811.53 = 175.76 : x
  2. Step 2: Convert to fraction form
    540.98/811.53 = 175.76/x
  3. Step 3: Cross multiply
    540.98x = 811.53 × 175.76
  4. Step 4: Simplify right side
    540.98x = 142,634.51
  5. Step 5: Solve for x
    x = 142,634.51/540.98
  6. Step 6: Final answer
    x = 263.66

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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.