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Finding the Fourth Proportional to 499.14, 688.38 and 433.50

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Solution

The fourth proportional to 499.14, 688.38 and 433.50 is: 597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.14 : 688.38 = 433.50 : x
  2. Step 2: Convert to fraction form
    499.14/688.38 = 433.50/x
  3. Step 3: Cross multiply
    499.14x = 688.38 × 433.50
  4. Step 4: Simplify right side
    499.14x = 298,412.73
  5. Step 5: Solve for x
    x = 298,412.73/499.14
  6. Step 6: Final answer
    x = 597.85

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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.