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Finding the Fourth Proportional to 333.41, 457.65 and 295.74

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Solution

The fourth proportional to 333.41, 457.65 and 295.74 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.41 : 457.65 = 295.74 : x
  2. Step 2: Convert to fraction form
    333.41/457.65 = 295.74/x
  3. Step 3: Cross multiply
    333.41x = 457.65 × 295.74
  4. Step 4: Simplify right side
    333.41x = 135,345.41
  5. Step 5: Solve for x
    x = 135,345.41/333.41
  6. Step 6: Final answer
    x = 405.95

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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.