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Finding the Fourth Proportional to 499.60, 689.31 and 278.50

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Solution

The fourth proportional to 499.60, 689.31 and 278.50 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.60 : 689.31 = 278.50 : x
  2. Step 2: Convert to fraction form
    499.60/689.31 = 278.50/x
  3. Step 3: Cross multiply
    499.60x = 689.31 × 278.50
  4. Step 4: Simplify right side
    499.60x = 191,972.84
  5. Step 5: Solve for x
    x = 191,972.84/499.60
  6. Step 6: Final answer
    x = 384.25

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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.