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Finding the Fourth Proportional to 540.96, 810.48 and 386.64

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Solution

The fourth proportional to 540.96, 810.48 and 386.64 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 810.48 = 386.64 : x
  2. Step 2: Convert to fraction form
    540.96/810.48 = 386.64/x
  3. Step 3: Cross multiply
    540.96x = 810.48 × 386.64
  4. Step 4: Simplify right side
    540.96x = 313,363.99
  5. Step 5: Solve for x
    x = 313,363.99/540.96
  6. Step 6: Final answer
    x = 579.27

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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.