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Finding the Fourth Proportional to 661.54, 912.39 and 412.38

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Solution

The fourth proportional to 661.54, 912.39 and 412.38 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 912.39 = 412.38 : x
  2. Step 2: Convert to fraction form
    661.54/912.39 = 412.38/x
  3. Step 3: Cross multiply
    661.54x = 912.39 × 412.38
  4. Step 4: Simplify right side
    661.54x = 376,251.39
  5. Step 5: Solve for x
    x = 376,251.39/661.54
  6. Step 6: Final answer
    x = 568.75

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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.