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Finding the Fourth Proportional to 993.75, 1,490.64 and 344.49

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Solution

The fourth proportional to 993.75, 1,490.64 and 344.49 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.75 : 1,490.64 = 344.49 : x
  2. Step 2: Convert to fraction form
    993.75/1,490.64 = 344.49/x
  3. Step 3: Cross multiply
    993.75x = 1,490.64 × 344.49
  4. Step 4: Simplify right side
    993.75x = 513,510.57
  5. Step 5: Solve for x
    x = 513,510.57/993.75
  6. Step 6: Final answer
    x = 516.74

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Double scale
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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.