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Finding the Fourth Proportional to 452.78, 678.84 and 342.98

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Solution

The fourth proportional to 452.78, 678.84 and 342.98 is: 514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.78 : 678.84 = 342.98 : x
  2. Step 2: Convert to fraction form
    452.78/678.84 = 342.98/x
  3. Step 3: Cross multiply
    452.78x = 678.84 × 342.98
  4. Step 4: Simplify right side
    452.78x = 232,828.54
  5. Step 5: Solve for x
    x = 232,828.54/452.78
  6. Step 6: Final answer
    x = 514.22

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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.