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Finding the Fourth Proportional to 406.42, 608.19 and 296.86

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Solution

The fourth proportional to 406.42, 608.19 and 296.86 is: 444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 608.19 = 296.86 : x
  2. Step 2: Convert to fraction form
    406.42/608.19 = 296.86/x
  3. Step 3: Cross multiply
    406.42x = 608.19 × 296.86
  4. Step 4: Simplify right side
    406.42x = 180,547.28
  5. Step 5: Solve for x
    x = 180,547.28/406.42
  6. Step 6: Final answer
    x = 444.24

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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.