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Finding the Fourth Proportional to 462.70, 693.60 and 414.10

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Solution

The fourth proportional to 462.70, 693.60 and 414.10 is: 620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.70 : 693.60 = 414.10 : x
  2. Step 2: Convert to fraction form
    462.70/693.60 = 414.10/x
  3. Step 3: Cross multiply
    462.70x = 693.60 × 414.10
  4. Step 4: Simplify right side
    462.70x = 287,219.76
  5. Step 5: Solve for x
    x = 287,219.76/462.70
  6. Step 6: Final answer
    x = 620.75

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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.