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Finding the Fourth Proportional to 426.69, 589.92 and 296.67

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Solution

The fourth proportional to 426.69, 589.92 and 296.67 is: 410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.69 : 589.92 = 296.67 : x
  2. Step 2: Convert to fraction form
    426.69/589.92 = 296.67/x
  3. Step 3: Cross multiply
    426.69x = 589.92 × 296.67
  4. Step 4: Simplify right side
    426.69x = 175,011.57
  5. Step 5: Solve for x
    x = 175,011.57/426.69
  6. Step 6: Final answer
    x = 410.16

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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.