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Finding the Fourth Proportional to 993.44, 1,490.16 and 377.00

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Solution

The fourth proportional to 993.44, 1,490.16 and 377.00 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.44 : 1,490.16 = 377.00 : x
  2. Step 2: Convert to fraction form
    993.44/1,490.16 = 377.00/x
  3. Step 3: Cross multiply
    993.44x = 1,490.16 × 377.00
  4. Step 4: Simplify right side
    993.44x = 561,794.06
  5. Step 5: Solve for x
    x = 561,794.06/993.44
  6. Step 6: Final answer
    x = 565.50

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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.