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Finding the Fourth Proportional to 332.46, 459 and 214.54

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Solution

The fourth proportional to 332.46, 459 and 214.54 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.46 : 459 = 214.54 : x
  2. Step 2: Convert to fraction form
    332.46/459 = 214.54/x
  3. Step 3: Cross multiply
    332.46x = 459 × 214.54
  4. Step 4: Simplify right side
    332.46x = 98,472.71
  5. Step 5: Solve for x
    x = 98,472.71/332.46
  6. Step 6: Final answer
    x = 296.19

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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.