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Finding the Fourth Proportional to 666.40, 998.84 and 447.16

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Solution

The fourth proportional to 666.40, 998.84 and 447.16 is: 670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.40 : 998.84 = 447.16 : x
  2. Step 2: Convert to fraction form
    666.40/998.84 = 447.16/x
  3. Step 3: Cross multiply
    666.40x = 998.84 × 447.16
  4. Step 4: Simplify right side
    666.40x = 446,641.29
  5. Step 5: Solve for x
    x = 446,641.29/666.40
  6. Step 6: Final answer
    x = 670.23

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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.