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Finding the Fourth Proportional to 333.34, 457.57 and 295.68

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Solution

The fourth proportional to 333.34, 457.57 and 295.68 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.34 : 457.57 = 295.68 : x
  2. Step 2: Convert to fraction form
    333.34/457.57 = 295.68/x
  3. Step 3: Cross multiply
    333.34x = 457.57 × 295.68
  4. Step 4: Simplify right side
    333.34x = 135,291.68
  5. Step 5: Solve for x
    x = 135,291.68/333.34
  6. Step 6: Final answer
    x = 405.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.