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Finding the Fourth Proportional to 540.16, 809.94 and 309.04

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Solution

The fourth proportional to 540.16, 809.94 and 309.04 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 809.94 = 309.04 : x
  2. Step 2: Convert to fraction form
    540.16/809.94 = 309.04/x
  3. Step 3: Cross multiply
    540.16x = 809.94 × 309.04
  4. Step 4: Simplify right side
    540.16x = 250,303.86
  5. Step 5: Solve for x
    x = 250,303.86/540.16
  6. Step 6: Final answer
    x = 463.39

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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.