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Finding the Fourth Proportional to 406.02, 608.58 and 174.72

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Solution

The fourth proportional to 406.02, 608.58 and 174.72 is: 261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 608.58 = 174.72 : x
  2. Step 2: Convert to fraction form
    406.02/608.58 = 174.72/x
  3. Step 3: Cross multiply
    406.02x = 608.58 × 174.72
  4. Step 4: Simplify right side
    406.02x = 106,331.10
  5. Step 5: Solve for x
    x = 106,331.10/406.02
  6. Step 6: Final answer
    x = 261.89

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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.