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Finding the Fourth Proportional to 304.32, 459.12 and 295.68

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Solution

The fourth proportional to 304.32, 459.12 and 295.68 is: 446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 459.12 = 295.68 : x
  2. Step 2: Convert to fraction form
    304.32/459.12 = 295.68/x
  3. Step 3: Cross multiply
    304.32x = 459.12 × 295.68
  4. Step 4: Simplify right side
    304.32x = 135,752.60
  5. Step 5: Solve for x
    x = 135,752.60/304.32
  6. Step 6: Final answer
    x = 446.09

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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.