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Finding the Fourth Proportional to 631.89, 947.22 and 302.74

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Solution

The fourth proportional to 631.89, 947.22 and 302.74 is: 453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.89 : 947.22 = 302.74 : x
  2. Step 2: Convert to fraction form
    631.89/947.22 = 302.74/x
  3. Step 3: Cross multiply
    631.89x = 947.22 × 302.74
  4. Step 4: Simplify right side
    631.89x = 286,759.01
  5. Step 5: Solve for x
    x = 286,759.01/631.89
  6. Step 6: Final answer
    x = 453.81

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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.