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Finding the Fourth Proportional to 296.01, 444.29 and 214.61

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Solution

The fourth proportional to 296.01, 444.29 and 214.61 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.01 : 444.29 = 214.61 : x
  2. Step 2: Convert to fraction form
    296.01/444.29 = 214.61/x
  3. Step 3: Cross multiply
    296.01x = 444.29 × 214.61
  4. Step 4: Simplify right side
    296.01x = 95,345.78
  5. Step 5: Solve for x
    x = 95,345.78/296.01
  6. Step 6: Final answer
    x = 322.10

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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.