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Finding the Fourth Proportional to 666.79, 920.29 and 418.33

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Solution

The fourth proportional to 666.79, 920.29 and 418.33 is: 577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.79 : 920.29 = 418.33 : x
  2. Step 2: Convert to fraction form
    666.79/920.29 = 418.33/x
  3. Step 3: Cross multiply
    666.79x = 920.29 × 418.33
  4. Step 4: Simplify right side
    666.79x = 384,984.92
  5. Step 5: Solve for x
    x = 384,984.92/666.79
  6. Step 6: Final answer
    x = 577.37

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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.