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Finding the Fourth Proportional to 678.28, 936.18 and 412.96

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Solution

The fourth proportional to 678.28, 936.18 and 412.96 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 936.18 = 412.96 : x
  2. Step 2: Convert to fraction form
    678.28/936.18 = 412.96/x
  3. Step 3: Cross multiply
    678.28x = 936.18 × 412.96
  4. Step 4: Simplify right side
    678.28x = 386,604.89
  5. Step 5: Solve for x
    x = 386,604.89/678.28
  6. Step 6: Final answer
    x = 569.98

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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.