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Finding the Fourth Proportional to 540.24, 810.16 and 323.58

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Solution

The fourth proportional to 540.24, 810.16 and 323.58 is: 485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 810.16 = 323.58 : x
  2. Step 2: Convert to fraction form
    540.24/810.16 = 323.58/x
  3. Step 3: Cross multiply
    540.24x = 810.16 × 323.58
  4. Step 4: Simplify right side
    540.24x = 262,151.57
  5. Step 5: Solve for x
    x = 262,151.57/540.24
  6. Step 6: Final answer
    x = 485.25

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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.