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Finding the Fourth Proportional to 335.69, 463.05 and 261.08

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Solution

The fourth proportional to 335.69, 463.05 and 261.08 is: 360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.69 : 463.05 = 261.08 : x
  2. Step 2: Convert to fraction form
    335.69/463.05 = 261.08/x
  3. Step 3: Cross multiply
    335.69x = 463.05 × 261.08
  4. Step 4: Simplify right side
    335.69x = 120,890.78
  5. Step 5: Solve for x
    x = 120,890.78/335.69
  6. Step 6: Final answer
    x = 360.13

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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.