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Finding the Fourth Proportional to 540.96, 810 and 454.08

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Solution

The fourth proportional to 540.96, 810 and 454.08 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 810 = 454.08 : x
  2. Step 2: Convert to fraction form
    540.96/810 = 454.08/x
  3. Step 3: Cross multiply
    540.96x = 810 × 454.08
  4. Step 4: Simplify right side
    540.96x = 367,804.80
  5. Step 5: Solve for x
    x = 367,804.80/540.96
  6. Step 6: Final answer
    x = 679.91

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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.