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Finding the Fourth Proportional to 630.59, 945.73 and 424.34

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Solution

The fourth proportional to 630.59, 945.73 and 424.34 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.59 : 945.73 = 424.34 : x
  2. Step 2: Convert to fraction form
    630.59/945.73 = 424.34/x
  3. Step 3: Cross multiply
    630.59x = 945.73 × 424.34
  4. Step 4: Simplify right side
    630.59x = 401,308.03
  5. Step 5: Solve for x
    x = 401,308.03/630.59
  6. Step 6: Final answer
    x = 636.41

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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.