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Finding the Fourth Proportional to 993.62, 1,490.64 and 300.24

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Solution

The fourth proportional to 993.62, 1,490.64 and 300.24 is: 450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.62 : 1,490.64 = 300.24 : x
  2. Step 2: Convert to fraction form
    993.62/1,490.64 = 300.24/x
  3. Step 3: Cross multiply
    993.62x = 1,490.64 × 300.24
  4. Step 4: Simplify right side
    993.62x = 447,549.75
  5. Step 5: Solve for x
    x = 447,549.75/993.62
  6. Step 6: Final answer
    x = 450.42

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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.