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Finding the Fourth Proportional to 421.72, 581.95 and 235.19

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Solution

The fourth proportional to 421.72, 581.95 and 235.19 is: 324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.72 : 581.95 = 235.19 : x
  2. Step 2: Convert to fraction form
    421.72/581.95 = 235.19/x
  3. Step 3: Cross multiply
    421.72x = 581.95 × 235.19
  4. Step 4: Simplify right side
    421.72x = 136,867.64
  5. Step 5: Solve for x
    x = 136,867.64/421.72
  6. Step 6: Final answer
    x = 324.55

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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.