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Finding the Fourth Proportional to 499.12, 688.78 and 278.07

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Solution

The fourth proportional to 499.12, 688.78 and 278.07 is: 383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.12 : 688.78 = 278.07 : x
  2. Step 2: Convert to fraction form
    499.12/688.78 = 278.07/x
  3. Step 3: Cross multiply
    499.12x = 688.78 × 278.07
  4. Step 4: Simplify right side
    499.12x = 191,526.82
  5. Step 5: Solve for x
    x = 191,526.82/499.12
  6. Step 6: Final answer
    x = 383.73

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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.