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Finding the Fourth Proportional to 333.68, 506.70 and 333.68

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Solution

The fourth proportional to 333.68, 506.70 and 333.68 is: 506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 506.70 = 333.68 : x
  2. Step 2: Convert to fraction form
    333.68/506.70 = 333.68/x
  3. Step 3: Cross multiply
    333.68x = 506.70 × 333.68
  4. Step 4: Simplify right side
    333.68x = 169,073.12
  5. Step 5: Solve for x
    x = 169,073.12/333.68
  6. Step 6: Final answer
    x = 506.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.