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Finding the Fourth Proportional to 395.13, 591.84 and 334.02

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Solution

The fourth proportional to 395.13, 591.84 and 334.02 is: 500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.13 : 591.84 = 334.02 : x
  2. Step 2: Convert to fraction form
    395.13/591.84 = 334.02/x
  3. Step 3: Cross multiply
    395.13x = 591.84 × 334.02
  4. Step 4: Simplify right side
    395.13x = 197,686.40
  5. Step 5: Solve for x
    x = 197,686.40/395.13
  6. Step 6: Final answer
    x = 500.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.