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Finding the Fourth Proportional to 450.90, 673.09 and 432.67

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Solution

The fourth proportional to 450.90, 673.09 and 432.67 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.90 : 673.09 = 432.67 : x
  2. Step 2: Convert to fraction form
    450.90/673.09 = 432.67/x
  3. Step 3: Cross multiply
    450.90x = 673.09 × 432.67
  4. Step 4: Simplify right side
    450.90x = 291,225.85
  5. Step 5: Solve for x
    x = 291,225.85/450.90
  6. Step 6: Final answer
    x = 645.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.