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Finding the Fourth Proportional to 462.45, 696.80 and 412.72

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Solution

The fourth proportional to 462.45, 696.80 and 412.72 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 696.80 = 412.72 : x
  2. Step 2: Convert to fraction form
    462.45/696.80 = 412.72/x
  3. Step 3: Cross multiply
    462.45x = 696.80 × 412.72
  4. Step 4: Simplify right side
    462.45x = 287,582.59
  5. Step 5: Solve for x
    x = 287,582.59/462.45
  6. Step 6: Final answer
    x = 621.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.