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Finding the Fourth Proportional to 499.34, 689.07 and 278.25

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Solution

The fourth proportional to 499.34, 689.07 and 278.25 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.34 : 689.07 = 278.25 : x
  2. Step 2: Convert to fraction form
    499.34/689.07 = 278.25/x
  3. Step 3: Cross multiply
    499.34x = 689.07 × 278.25
  4. Step 4: Simplify right side
    499.34x = 191,734.50
  5. Step 5: Solve for x
    x = 191,734.50/499.34
  6. Step 6: Final answer
    x = 383.97

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