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Finding the Fourth Proportional to 452.62, 678.30 and 259.84

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Solution

The fourth proportional to 452.62, 678.30 and 259.84 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.62 : 678.30 = 259.84 : x
  2. Step 2: Convert to fraction form
    452.62/678.30 = 259.84/x
  3. Step 3: Cross multiply
    452.62x = 678.30 × 259.84
  4. Step 4: Simplify right side
    452.62x = 176,249.47
  5. Step 5: Solve for x
    x = 176,249.47/452.62
  6. Step 6: Final answer
    x = 389.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.