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Finding the Fourth Proportional to 332.65, 458.96 and 214.69

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Solution

The fourth proportional to 332.65, 458.96 and 214.69 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.65 : 458.96 = 214.69 : x
  2. Step 2: Convert to fraction form
    332.65/458.96 = 214.69/x
  3. Step 3: Cross multiply
    332.65x = 458.96 × 214.69
  4. Step 4: Simplify right side
    332.65x = 98,535.59
  5. Step 5: Solve for x
    x = 98,535.59/332.65
  6. Step 6: Final answer
    x = 296.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.