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Finding the Fourth Proportional to 403.68, 607.85 and 296.22

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Solution

The fourth proportional to 403.68, 607.85 and 296.22 is: 446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 607.85 = 296.22 : x
  2. Step 2: Convert to fraction form
    403.68/607.85 = 296.22/x
  3. Step 3: Cross multiply
    403.68x = 607.85 × 296.22
  4. Step 4: Simplify right side
    403.68x = 180,055.85
  5. Step 5: Solve for x
    x = 180,055.85/403.68
  6. Step 6: Final answer
    x = 446.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.