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Finding the Fourth Proportional to 296.84, 444.58 and 214.05

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Solution

The fourth proportional to 296.84, 444.58 and 214.05 is: 320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.84 : 444.58 = 214.05 : x
  2. Step 2: Convert to fraction form
    296.84/444.58 = 214.05/x
  3. Step 3: Cross multiply
    296.84x = 444.58 × 214.05
  4. Step 4: Simplify right side
    296.84x = 95,162.35
  5. Step 5: Solve for x
    x = 95,162.35/296.84
  6. Step 6: Final answer
    x = 320.58

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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.