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Finding the Fourth Proportional to 399.80, 598.95 and 335.23

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Solution

The fourth proportional to 399.80, 598.95 and 335.23 is: 502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.80 : 598.95 = 335.23 : x
  2. Step 2: Convert to fraction form
    399.80/598.95 = 335.23/x
  3. Step 3: Cross multiply
    399.80x = 598.95 × 335.23
  4. Step 4: Simplify right side
    399.80x = 200,784.51
  5. Step 5: Solve for x
    x = 200,784.51/399.80
  6. Step 6: Final answer
    x = 502.21

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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.