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Finding the Fourth Proportional to 540.74, 810.98 and 175.64

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Solution

The fourth proportional to 540.74, 810.98 and 175.64 is: 263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.74 : 810.98 = 175.64 : x
  2. Step 2: Convert to fraction form
    540.74/810.98 = 175.64/x
  3. Step 3: Cross multiply
    540.74x = 810.98 × 175.64
  4. Step 4: Simplify right side
    540.74x = 142,436.25
  5. Step 5: Solve for x
    x = 142,436.25/540.74
  6. Step 6: Final answer
    x = 263.41

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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.