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Finding the Fourth Proportional to 332.33, 456.93 and 293.02

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Solution

The fourth proportional to 332.33, 456.93 and 293.02 is: 402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.33 : 456.93 = 293.02 : x
  2. Step 2: Convert to fraction form
    332.33/456.93 = 293.02/x
  3. Step 3: Cross multiply
    332.33x = 456.93 × 293.02
  4. Step 4: Simplify right side
    332.33x = 133,888.49
  5. Step 5: Solve for x
    x = 133,888.49/332.33
  6. Step 6: Final answer
    x = 402.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.