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Finding the Fourth Proportional to 631.89, 947.15 and 412.69

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Solution

The fourth proportional to 631.89, 947.15 and 412.69 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.89 : 947.15 = 412.69 : x
  2. Step 2: Convert to fraction form
    631.89/947.15 = 412.69/x
  3. Step 3: Cross multiply
    631.89x = 947.15 × 412.69
  4. Step 4: Simplify right side
    631.89x = 390,878.00
  5. Step 5: Solve for x
    x = 390,878.00/631.89
  6. Step 6: Final answer
    x = 618.59

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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.