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Finding the Fourth Proportional to 333.57, 499.29 and 284.37

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Solution

The fourth proportional to 333.57, 499.29 and 284.37 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 499.29 = 284.37 : x
  2. Step 2: Convert to fraction form
    333.57/499.29 = 284.37/x
  3. Step 3: Cross multiply
    333.57x = 499.29 × 284.37
  4. Step 4: Simplify right side
    333.57x = 141,983.10
  5. Step 5: Solve for x
    x = 141,983.10/333.57
  6. Step 6: Final answer
    x = 425.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.