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Finding the Fourth Proportional to 332.72, 459.21 and 214.84

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Solution

The fourth proportional to 332.72, 459.21 and 214.84 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.72 : 459.21 = 214.84 : x
  2. Step 2: Convert to fraction form
    332.72/459.21 = 214.84/x
  3. Step 3: Cross multiply
    332.72x = 459.21 × 214.84
  4. Step 4: Simplify right side
    332.72x = 98,656.16
  5. Step 5: Solve for x
    x = 98,656.16/332.72
  6. Step 6: Final answer
    x = 296.52

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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.