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Finding the Fourth Proportional to 296.59, 444.07 and 214.40

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Solution

The fourth proportional to 296.59, 444.07 and 214.40 is: 321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.59 : 444.07 = 214.40 : x
  2. Step 2: Convert to fraction form
    296.59/444.07 = 214.40/x
  3. Step 3: Cross multiply
    296.59x = 444.07 × 214.40
  4. Step 4: Simplify right side
    296.59x = 95,208.61
  5. Step 5: Solve for x
    x = 95,208.61/296.59
  6. Step 6: Final answer
    x = 321.01

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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.