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Finding the Fourth Proportional to 457.19, 686.00 and 213.88

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Solution

The fourth proportional to 457.19, 686.00 and 213.88 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 686.00 = 213.88 : x
  2. Step 2: Convert to fraction form
    457.19/686.00 = 213.88/x
  3. Step 3: Cross multiply
    457.19x = 686.00 × 213.88
  4. Step 4: Simplify right side
    457.19x = 146,717.18
  5. Step 5: Solve for x
    x = 146,717.18/457.19
  6. Step 6: Final answer
    x = 320.91

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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.