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Finding the Fourth Proportional to 421.34, 631.75 and 174.47

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Solution

The fourth proportional to 421.34, 631.75 and 174.47 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 631.75 = 174.47 : x
  2. Step 2: Convert to fraction form
    421.34/631.75 = 174.47/x
  3. Step 3: Cross multiply
    421.34x = 631.75 × 174.47
  4. Step 4: Simplify right side
    421.34x = 110,221.42
  5. Step 5: Solve for x
    x = 110,221.42/421.34
  6. Step 6: Final answer
    x = 261.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.