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Finding the Fourth Proportional to 332.74, 497.67 and 302.08

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Solution

The fourth proportional to 332.74, 497.67 and 302.08 is: 451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 497.67 = 302.08 : x
  2. Step 2: Convert to fraction form
    332.74/497.67 = 302.08/x
  3. Step 3: Cross multiply
    332.74x = 497.67 × 302.08
  4. Step 4: Simplify right side
    332.74x = 150,336.15
  5. Step 5: Solve for x
    x = 150,336.15/332.74
  6. Step 6: Final answer
    x = 451.81

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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.