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Finding the Fourth Proportional to 630.36, 945.63 and 265.05

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Solution

The fourth proportional to 630.36, 945.63 and 265.05 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.36 : 945.63 = 265.05 : x
  2. Step 2: Convert to fraction form
    630.36/945.63 = 265.05/x
  3. Step 3: Cross multiply
    630.36x = 945.63 × 265.05
  4. Step 4: Simplify right side
    630.36x = 250,639.23
  5. Step 5: Solve for x
    x = 250,639.23/630.36
  6. Step 6: Final answer
    x = 397.61

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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.