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Finding the Fourth Proportional to 475.20, 712.80 and 465.60

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Solution

The fourth proportional to 475.20, 712.80 and 465.60 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 712.80 = 465.60 : x
  2. Step 2: Convert to fraction form
    475.20/712.80 = 465.60/x
  3. Step 3: Cross multiply
    475.20x = 712.80 × 465.60
  4. Step 4: Simplify right side
    475.20x = 331,879.68
  5. Step 5: Solve for x
    x = 331,879.68/475.20
  6. Step 6: Final answer
    x = 698.40

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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.