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Finding the Fourth Proportional to 457.45, 630.92 and 309.83

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Solution

The fourth proportional to 457.45, 630.92 and 309.83 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 630.92 = 309.83 : x
  2. Step 2: Convert to fraction form
    457.45/630.92 = 309.83/x
  3. Step 3: Cross multiply
    457.45x = 630.92 × 309.83
  4. Step 4: Simplify right side
    457.45x = 195,475.56
  5. Step 5: Solve for x
    x = 195,475.56/457.45
  6. Step 6: Final answer
    x = 427.32

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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.