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Finding the Fourth Proportional to 540.48, 809.10 and 459.48

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Solution

The fourth proportional to 540.48, 809.10 and 459.48 is: 687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 809.10 = 459.48 : x
  2. Step 2: Convert to fraction form
    540.48/809.10 = 459.48/x
  3. Step 3: Cross multiply
    540.48x = 809.10 × 459.48
  4. Step 4: Simplify right side
    540.48x = 371,765.27
  5. Step 5: Solve for x
    x = 371,765.27/540.48
  6. Step 6: Final answer
    x = 687.84

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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.