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Finding the Fourth Proportional to 631.40, 946.49 and 466.16

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Solution

The fourth proportional to 631.40, 946.49 and 466.16 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 946.49 = 466.16 : x
  2. Step 2: Convert to fraction form
    631.40/946.49 = 466.16/x
  3. Step 3: Cross multiply
    631.40x = 946.49 × 466.16
  4. Step 4: Simplify right side
    631.40x = 441,208.72
  5. Step 5: Solve for x
    x = 441,208.72/631.40
  6. Step 6: Final answer
    x = 698.78

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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.