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Finding the Fourth Proportional to 296.17, 444.54 and 214.63

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Solution

The fourth proportional to 296.17, 444.54 and 214.63 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.17 : 444.54 = 214.63 : x
  2. Step 2: Convert to fraction form
    296.17/444.54 = 214.63/x
  3. Step 3: Cross multiply
    296.17x = 444.54 × 214.63
  4. Step 4: Simplify right side
    296.17x = 95,411.62
  5. Step 5: Solve for x
    x = 95,411.62/296.17
  6. Step 6: Final answer
    x = 322.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.