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Finding the Fourth Proportional to 630.86, 945.63 and 305.82

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Solution

The fourth proportional to 630.86, 945.63 and 305.82 is: 458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.86 : 945.63 = 305.82 : x
  2. Step 2: Convert to fraction form
    630.86/945.63 = 305.82/x
  3. Step 3: Cross multiply
    630.86x = 945.63 × 305.82
  4. Step 4: Simplify right side
    630.86x = 289,192.57
  5. Step 5: Solve for x
    x = 289,192.57/630.86
  6. Step 6: Final answer
    x = 458.41

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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.