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Finding the Fourth Proportional to 332.60, 497.25 and 281.81

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Solution

The fourth proportional to 332.60, 497.25 and 281.81 is: 421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 497.25 = 281.81 : x
  2. Step 2: Convert to fraction form
    332.60/497.25 = 281.81/x
  3. Step 3: Cross multiply
    332.60x = 497.25 × 281.81
  4. Step 4: Simplify right side
    332.60x = 140,127.54
  5. Step 5: Solve for x
    x = 140,127.54/332.60
  6. Step 6: Final answer
    x = 421.32

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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.