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Finding the Fourth Proportional to 335.61, 502.83 and 294.02

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Solution

The fourth proportional to 335.61, 502.83 and 294.02 is: 440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.61 : 502.83 = 294.02 : x
  2. Step 2: Convert to fraction form
    335.61/502.83 = 294.02/x
  3. Step 3: Cross multiply
    335.61x = 502.83 × 294.02
  4. Step 4: Simplify right side
    335.61x = 147,840.08
  5. Step 5: Solve for x
    x = 147,840.08/335.61
  6. Step 6: Final answer
    x = 440.51

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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.