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Finding the Fourth Proportional to 456.75, 630.54 and 309.63

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Solution

The fourth proportional to 456.75, 630.54 and 309.63 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 630.54 = 309.63 : x
  2. Step 2: Convert to fraction form
    456.75/630.54 = 309.63/x
  3. Step 3: Cross multiply
    456.75x = 630.54 × 309.63
  4. Step 4: Simplify right side
    456.75x = 195,234.10
  5. Step 5: Solve for x
    x = 195,234.10/456.75
  6. Step 6: Final answer
    x = 427.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.