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Finding the Fourth Proportional to 414.64, 625.03 and 391.06

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Solution

The fourth proportional to 414.64, 625.03 and 391.06 is: 589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 625.03 = 391.06 : x
  2. Step 2: Convert to fraction form
    414.64/625.03 = 391.06/x
  3. Step 3: Cross multiply
    414.64x = 625.03 × 391.06
  4. Step 4: Simplify right side
    414.64x = 244,424.23
  5. Step 5: Solve for x
    x = 244,424.23/414.64
  6. Step 6: Final answer
    x = 589.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.