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Finding the Fourth Proportional to 452.18, 678.86 and 364.39

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Solution

The fourth proportional to 452.18, 678.86 and 364.39 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.18 : 678.86 = 364.39 : x
  2. Step 2: Convert to fraction form
    452.18/678.86 = 364.39/x
  3. Step 3: Cross multiply
    452.18x = 678.86 × 364.39
  4. Step 4: Simplify right side
    452.18x = 247,368.92
  5. Step 5: Solve for x
    x = 247,368.92/452.18
  6. Step 6: Final answer
    x = 547.05

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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.