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Finding the Fourth Proportional to 332.30, 458.46 and 266.90

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Solution

The fourth proportional to 332.30, 458.46 and 266.90 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.30 : 458.46 = 266.90 : x
  2. Step 2: Convert to fraction form
    332.30/458.46 = 266.90/x
  3. Step 3: Cross multiply
    332.30x = 458.46 × 266.90
  4. Step 4: Simplify right side
    332.30x = 122,360.68
  5. Step 5: Solve for x
    x = 122,360.68/332.30
  6. Step 6: Final answer
    x = 368.22

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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.