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Finding the Fourth Proportional to 457.69, 686.75 and 214.38

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Solution

The fourth proportional to 457.69, 686.75 and 214.38 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.69 : 686.75 = 214.38 : x
  2. Step 2: Convert to fraction form
    457.69/686.75 = 214.38/x
  3. Step 3: Cross multiply
    457.69x = 686.75 × 214.38
  4. Step 4: Simplify right side
    457.69x = 147,225.47
  5. Step 5: Solve for x
    x = 147,225.47/457.69
  6. Step 6: Final answer
    x = 321.67

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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.