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Finding the Fourth Proportional to 452.46, 678.42 and 398.46

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Solution

The fourth proportional to 452.46, 678.42 and 398.46 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.46 : 678.42 = 398.46 : x
  2. Step 2: Convert to fraction form
    452.46/678.42 = 398.46/x
  3. Step 3: Cross multiply
    452.46x = 678.42 × 398.46
  4. Step 4: Simplify right side
    452.46x = 270,323.23
  5. Step 5: Solve for x
    x = 270,323.23/452.46
  6. Step 6: Final answer
    x = 597.45

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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.