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Finding the Fourth Proportional to 631.08, 945.36 and 414

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Solution

The fourth proportional to 631.08, 945.36 and 414 is: 620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.08 : 945.36 = 414 : x
  2. Step 2: Convert to fraction form
    631.08/945.36 = 414/x
  3. Step 3: Cross multiply
    631.08x = 945.36 × 414
  4. Step 4: Simplify right side
    631.08x = 391,379.04
  5. Step 5: Solve for x
    x = 391,379.04/631.08
  6. Step 6: Final answer
    x = 620.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.