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Finding the Fourth Proportional to 631.29, 947.04 and 306.63

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Solution

The fourth proportional to 631.29, 947.04 and 306.63 is: 460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.29 : 947.04 = 306.63 : x
  2. Step 2: Convert to fraction form
    631.29/947.04 = 306.63/x
  3. Step 3: Cross multiply
    631.29x = 947.04 × 306.63
  4. Step 4: Simplify right side
    631.29x = 290,390.88
  5. Step 5: Solve for x
    x = 290,390.88/631.29
  6. Step 6: Final answer
    x = 460.00

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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.