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Finding the Fourth Proportional to 666.92, 920.46 and 418.45

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Solution

The fourth proportional to 666.92, 920.46 and 418.45 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.92 : 920.46 = 418.45 : x
  2. Step 2: Convert to fraction form
    666.92/920.46 = 418.45/x
  3. Step 3: Cross multiply
    666.92x = 920.46 × 418.45
  4. Step 4: Simplify right side
    666.92x = 385,166.49
  5. Step 5: Solve for x
    x = 385,166.49/666.92
  6. Step 6: Final answer
    x = 577.53

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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.