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Finding the Fourth Proportional to 335.70, 500.90 and 281.70

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Solution

The fourth proportional to 335.70, 500.90 and 281.70 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.70 : 500.90 = 281.70 : x
  2. Step 2: Convert to fraction form
    335.70/500.90 = 281.70/x
  3. Step 3: Cross multiply
    335.70x = 500.90 × 281.70
  4. Step 4: Simplify right side
    335.70x = 141,102.12
  5. Step 5: Solve for x
    x = 141,102.12/335.70
  6. Step 6: Final answer
    x = 420.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.