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Finding the Fourth Proportional to 464.75, 696.54 and 406.83

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Solution

The fourth proportional to 464.75, 696.54 and 406.83 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.75 : 696.54 = 406.83 : x
  2. Step 2: Convert to fraction form
    464.75/696.54 = 406.83/x
  3. Step 3: Cross multiply
    464.75x = 696.54 × 406.83
  4. Step 4: Simplify right side
    464.75x = 283,373.37
  5. Step 5: Solve for x
    x = 283,373.37/464.75
  6. Step 6: Final answer
    x = 609.74

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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.