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Finding the Fourth Proportional to 539.57, 809.32 and 307.73

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Solution

The fourth proportional to 539.57, 809.32 and 307.73 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.57 : 809.32 = 307.73 : x
  2. Step 2: Convert to fraction form
    539.57/809.32 = 307.73/x
  3. Step 3: Cross multiply
    539.57x = 809.32 × 307.73
  4. Step 4: Simplify right side
    539.57x = 249,050.50
  5. Step 5: Solve for x
    x = 249,050.50/539.57
  6. Step 6: Final answer
    x = 461.57

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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.