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Finding the Fourth Proportional to 333.54, 499.70 and 230.46

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Solution

The fourth proportional to 333.54, 499.70 and 230.46 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 499.70 = 230.46 : x
  2. Step 2: Convert to fraction form
    333.54/499.70 = 230.46/x
  3. Step 3: Cross multiply
    333.54x = 499.70 × 230.46
  4. Step 4: Simplify right side
    333.54x = 115,159.71
  5. Step 5: Solve for x
    x = 115,159.71/333.54
  6. Step 6: Final answer
    x = 345.27

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