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Finding the Fourth Proportional to 452.32, 678.52 and 308.16

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Solution

The fourth proportional to 452.32, 678.52 and 308.16 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 678.52 = 308.16 : x
  2. Step 2: Convert to fraction form
    452.32/678.52 = 308.16/x
  3. Step 3: Cross multiply
    452.32x = 678.52 × 308.16
  4. Step 4: Simplify right side
    452.32x = 209,092.72
  5. Step 5: Solve for x
    x = 209,092.72/452.32
  6. Step 6: Final answer
    x = 462.27

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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.