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Finding the Fourth Proportional to 678.68, 936.62 and 416.66

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Solution

The fourth proportional to 678.68, 936.62 and 416.66 is: 575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.68 : 936.62 = 416.66 : x
  2. Step 2: Convert to fraction form
    678.68/936.62 = 416.66/x
  3. Step 3: Cross multiply
    678.68x = 936.62 × 416.66
  4. Step 4: Simplify right side
    678.68x = 390,252.09
  5. Step 5: Solve for x
    x = 390,252.09/678.68
  6. Step 6: Final answer
    x = 575.02

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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.