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Finding the Fourth Proportional to 421.02, 580.37 and 332.34

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Solution

The fourth proportional to 421.02, 580.37 and 332.34 is: 458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 580.37 = 332.34 : x
  2. Step 2: Convert to fraction form
    421.02/580.37 = 332.34/x
  3. Step 3: Cross multiply
    421.02x = 580.37 × 332.34
  4. Step 4: Simplify right side
    421.02x = 192,878.50
  5. Step 5: Solve for x
    x = 192,878.50/421.02
  6. Step 6: Final answer
    x = 458.12

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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.