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Finding the Fourth Proportional to 462.40, 693.60 and 421.90

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Solution

The fourth proportional to 462.40, 693.60 and 421.90 is: 632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 693.60 = 421.90 : x
  2. Step 2: Convert to fraction form
    462.40/693.60 = 421.90/x
  3. Step 3: Cross multiply
    462.40x = 693.60 × 421.90
  4. Step 4: Simplify right side
    462.40x = 292,629.84
  5. Step 5: Solve for x
    x = 292,629.84/462.40
  6. Step 6: Final answer
    x = 632.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.