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Finding the Fourth Proportional to 539.16, 809.04 and 214.75

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Solution

The fourth proportional to 539.16, 809.04 and 214.75 is: 322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 809.04 = 214.75 : x
  2. Step 2: Convert to fraction form
    539.16/809.04 = 214.75/x
  3. Step 3: Cross multiply
    539.16x = 809.04 × 214.75
  4. Step 4: Simplify right side
    539.16x = 173,741.34
  5. Step 5: Solve for x
    x = 173,741.34/539.16
  6. Step 6: Final answer
    x = 322.24

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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.