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Finding the Fourth Proportional to 421.22, 580.86 and 316.52

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Solution

The fourth proportional to 421.22, 580.86 and 316.52 is: 436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.22 : 580.86 = 316.52 : x
  2. Step 2: Convert to fraction form
    421.22/580.86 = 316.52/x
  3. Step 3: Cross multiply
    421.22x = 580.86 × 316.52
  4. Step 4: Simplify right side
    421.22x = 183,853.81
  5. Step 5: Solve for x
    x = 183,853.81/421.22
  6. Step 6: Final answer
    x = 436.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.