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Finding the Fourth Proportional to 666.82, 920.42 and 456.92

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Solution

The fourth proportional to 666.82, 920.42 and 456.92 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.82 : 920.42 = 456.92 : x
  2. Step 2: Convert to fraction form
    666.82/920.42 = 456.92/x
  3. Step 3: Cross multiply
    666.82x = 920.42 × 456.92
  4. Step 4: Simplify right side
    666.82x = 420,554.85
  5. Step 5: Solve for x
    x = 420,554.85/666.82
  6. Step 6: Final answer
    x = 630.69

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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.