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Finding the Fourth Proportional to 993.18, 1,489.48 and 334.98

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Solution

The fourth proportional to 993.18, 1,489.48 and 334.98 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.18 : 1,489.48 = 334.98 : x
  2. Step 2: Convert to fraction form
    993.18/1,489.48 = 334.98/x
  3. Step 3: Cross multiply
    993.18x = 1,489.48 × 334.98
  4. Step 4: Simplify right side
    993.18x = 498,944.34
  5. Step 5: Solve for x
    x = 498,944.34/993.18
  6. Step 6: Final answer
    x = 502.37

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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.