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Finding the Fourth Proportional to 540.05, 810.08 and 410.32

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Solution

The fourth proportional to 540.05, 810.08 and 410.32 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.05 : 810.08 = 410.32 : x
  2. Step 2: Convert to fraction form
    540.05/810.08 = 410.32/x
  3. Step 3: Cross multiply
    540.05x = 810.08 × 410.32
  4. Step 4: Simplify right side
    540.05x = 332,392.03
  5. Step 5: Solve for x
    x = 332,392.03/540.05
  6. Step 6: Final answer
    x = 615.48

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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.