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Finding the Fourth Proportional to 993.57, 1,490.00 and 300.11

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Solution

The fourth proportional to 993.57, 1,490.00 and 300.11 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.57 : 1,490.00 = 300.11 : x
  2. Step 2: Convert to fraction form
    993.57/1,490.00 = 300.11/x
  3. Step 3: Cross multiply
    993.57x = 1,490.00 × 300.11
  4. Step 4: Simplify right side
    993.57x = 447,154.95
  5. Step 5: Solve for x
    x = 447,154.95/993.57
  6. Step 6: Final answer
    x = 450.05

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1.5x scale

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.