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Finding the Fourth Proportional to 539.64, 809.52 and 154.89

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Solution

The fourth proportional to 539.64, 809.52 and 154.89 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 809.52 = 154.89 : x
  2. Step 2: Convert to fraction form
    539.64/809.52 = 154.89/x
  3. Step 3: Cross multiply
    539.64x = 809.52 × 154.89
  4. Step 4: Simplify right side
    539.64x = 125,386.55
  5. Step 5: Solve for x
    x = 125,386.55/539.64
  6. Step 6: Final answer
    x = 232.35

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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.