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Finding the Fourth Proportional to 630.36, 945.47 and 265.32

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Solution

The fourth proportional to 630.36, 945.47 and 265.32 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.36 : 945.47 = 265.32 : x
  2. Step 2: Convert to fraction form
    630.36/945.47 = 265.32/x
  3. Step 3: Cross multiply
    630.36x = 945.47 × 265.32
  4. Step 4: Simplify right side
    630.36x = 250,852.76
  5. Step 5: Solve for x
    x = 250,852.76/630.36
  6. Step 6: Final answer
    x = 397.95

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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.