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Finding the Fourth Proportional to 456.92, 630.78 and 309.68

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Solution

The fourth proportional to 456.92, 630.78 and 309.68 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 630.78 = 309.68 : x
  2. Step 2: Convert to fraction form
    456.92/630.78 = 309.68/x
  3. Step 3: Cross multiply
    456.92x = 630.78 × 309.68
  4. Step 4: Simplify right side
    456.92x = 195,339.95
  5. Step 5: Solve for x
    x = 195,339.95/456.92
  6. Step 6: Final answer
    x = 427.51

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