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Finding the Fourth Proportional to 993.50, 1,490.01 and 408.35

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Solution

The fourth proportional to 993.50, 1,490.01 and 408.35 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.50 : 1,490.01 = 408.35 : x
  2. Step 2: Convert to fraction form
    993.50/1,490.01 = 408.35/x
  3. Step 3: Cross multiply
    993.50x = 1,490.01 × 408.35
  4. Step 4: Simplify right side
    993.50x = 608,438.13
  5. Step 5: Solve for x
    x = 608,438.13/993.50
  6. Step 6: Final answer
    x = 612.42

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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.