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Finding the Fourth Proportional to 308.34, 459.80 and 305.57

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Solution

The fourth proportional to 308.34, 459.80 and 305.57 is: 455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.34 : 459.80 = 305.57 : x
  2. Step 2: Convert to fraction form
    308.34/459.80 = 305.57/x
  3. Step 3: Cross multiply
    308.34x = 459.80 × 305.57
  4. Step 4: Simplify right side
    308.34x = 140,497.26
  5. Step 5: Solve for x
    x = 140,497.26/308.34
  6. Step 6: Final answer
    x = 455.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.