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Finding the Fourth Proportional to 421.80, 632.54 and 248.51

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Solution

The fourth proportional to 421.80, 632.54 and 248.51 is: 372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.80 : 632.54 = 248.51 : x
  2. Step 2: Convert to fraction form
    421.80/632.54 = 248.51/x
  3. Step 3: Cross multiply
    421.80x = 632.54 × 248.51
  4. Step 4: Simplify right side
    421.80x = 157,188.11
  5. Step 5: Solve for x
    x = 157,188.11/421.80
  6. Step 6: Final answer
    x = 372.66

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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.