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Finding the Fourth Proportional to 539.76, 744.88 and 306.88

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Solution

The fourth proportional to 539.76, 744.88 and 306.88 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 744.88 = 306.88 : x
  2. Step 2: Convert to fraction form
    539.76/744.88 = 306.88/x
  3. Step 3: Cross multiply
    539.76x = 744.88 × 306.88
  4. Step 4: Simplify right side
    539.76x = 228,588.77
  5. Step 5: Solve for x
    x = 228,588.77/539.76
  6. Step 6: Final answer
    x = 423.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.