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Finding the Fourth Proportional to 421.73, 581.32 and 316.66

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Solution

The fourth proportional to 421.73, 581.32 and 316.66 is: 436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.73 : 581.32 = 316.66 : x
  2. Step 2: Convert to fraction form
    421.73/581.32 = 316.66/x
  3. Step 3: Cross multiply
    421.73x = 581.32 × 316.66
  4. Step 4: Simplify right side
    421.73x = 184,079.93
  5. Step 5: Solve for x
    x = 184,079.93/421.73
  6. Step 6: Final answer
    x = 436.49

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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.