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Finding the Fourth Proportional to 457.92, 686.12 and 313.34

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Solution

The fourth proportional to 457.92, 686.12 and 313.34 is: 469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 686.12 = 313.34 : x
  2. Step 2: Convert to fraction form
    457.92/686.12 = 313.34/x
  3. Step 3: Cross multiply
    457.92x = 686.12 × 313.34
  4. Step 4: Simplify right side
    457.92x = 214,983.84
  5. Step 5: Solve for x
    x = 214,983.84/457.92
  6. Step 6: Final answer
    x = 469.48

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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.