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Finding the Fourth Proportional to 407.69, 562.64 and 230.67

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Solution

The fourth proportional to 407.69, 562.64 and 230.67 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.69 : 562.64 = 230.67 : x
  2. Step 2: Convert to fraction form
    407.69/562.64 = 230.67/x
  3. Step 3: Cross multiply
    407.69x = 562.64 × 230.67
  4. Step 4: Simplify right side
    407.69x = 129,783.02
  5. Step 5: Solve for x
    x = 129,783.02/407.69
  6. Step 6: Final answer
    x = 318.34

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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.