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Finding the Fourth Proportional to 630.72, 946.46 and 265.48

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Solution

The fourth proportional to 630.72, 946.46 and 265.48 is: 398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 946.46 = 265.48 : x
  2. Step 2: Convert to fraction form
    630.72/946.46 = 265.48/x
  3. Step 3: Cross multiply
    630.72x = 946.46 × 265.48
  4. Step 4: Simplify right side
    630.72x = 251,266.20
  5. Step 5: Solve for x
    x = 251,266.20/630.72
  6. Step 6: Final answer
    x = 398.38

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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.