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Finding the Fourth Proportional to 630.34, 945.80 and 337.76

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Solution

The fourth proportional to 630.34, 945.80 and 337.76 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.34 : 945.80 = 337.76 : x
  2. Step 2: Convert to fraction form
    630.34/945.80 = 337.76/x
  3. Step 3: Cross multiply
    630.34x = 945.80 × 337.76
  4. Step 4: Simplify right side
    630.34x = 319,453.41
  5. Step 5: Solve for x
    x = 319,453.41/630.34
  6. Step 6: Final answer
    x = 506.80

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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.