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Finding the Fourth Proportional to 666.19, 919.61 and 445.06

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Solution

The fourth proportional to 666.19, 919.61 and 445.06 is: 614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.19 : 919.61 = 445.06 : x
  2. Step 2: Convert to fraction form
    666.19/919.61 = 445.06/x
  3. Step 3: Cross multiply
    666.19x = 919.61 × 445.06
  4. Step 4: Simplify right side
    666.19x = 409,282.22
  5. Step 5: Solve for x
    x = 409,282.22/666.19
  6. Step 6: Final answer
    x = 614.36

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.