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Finding the Fourth Proportional to 334.65, 462.02 and 264.99

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Solution

The fourth proportional to 334.65, 462.02 and 264.99 is: 365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.65 : 462.02 = 264.99 : x
  2. Step 2: Convert to fraction form
    334.65/462.02 = 264.99/x
  3. Step 3: Cross multiply
    334.65x = 462.02 × 264.99
  4. Step 4: Simplify right side
    334.65x = 122,430.68
  5. Step 5: Solve for x
    x = 122,430.68/334.65
  6. Step 6: Final answer
    x = 365.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.