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Finding the Fourth Proportional to 296.76, 444.60 and 215.22

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Solution

The fourth proportional to 296.76, 444.60 and 215.22 is: 322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 444.60 = 215.22 : x
  2. Step 2: Convert to fraction form
    296.76/444.60 = 215.22/x
  3. Step 3: Cross multiply
    296.76x = 444.60 × 215.22
  4. Step 4: Simplify right side
    296.76x = 95,686.81
  5. Step 5: Solve for x
    x = 95,686.81/296.76
  6. Step 6: Final answer
    x = 322.44

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