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Finding the Fourth Proportional to 332.90, 459.28 and 214.87

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Solution

The fourth proportional to 332.90, 459.28 and 214.87 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 459.28 = 214.87 : x
  2. Step 2: Convert to fraction form
    332.90/459.28 = 214.87/x
  3. Step 3: Cross multiply
    332.90x = 459.28 × 214.87
  4. Step 4: Simplify right side
    332.90x = 98,685.49
  5. Step 5: Solve for x
    x = 98,685.49/332.90
  6. Step 6: Final answer
    x = 296.44

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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.