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Finding the Fourth Proportional to 666.19, 919.33 and 414.06

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Solution

The fourth proportional to 666.19, 919.33 and 414.06 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.19 : 919.33 = 414.06 : x
  2. Step 2: Convert to fraction form
    666.19/919.33 = 414.06/x
  3. Step 3: Cross multiply
    666.19x = 919.33 × 414.06
  4. Step 4: Simplify right side
    666.19x = 380,657.78
  5. Step 5: Solve for x
    x = 380,657.78/666.19
  6. Step 6: Final answer
    x = 571.40

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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.