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Finding the Fourth Proportional to 426.80, 588.96 and 403.40

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Solution

The fourth proportional to 426.80, 588.96 and 403.40 is: 556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 588.96 = 403.40 : x
  2. Step 2: Convert to fraction form
    426.80/588.96 = 403.40/x
  3. Step 3: Cross multiply
    426.80x = 588.96 × 403.40
  4. Step 4: Simplify right side
    426.80x = 237,586.46
  5. Step 5: Solve for x
    x = 237,586.46/426.80
  6. Step 6: Final answer
    x = 556.67

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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.