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Finding the Fourth Proportional to 452.36, 678.78 and 354.57

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Solution

The fourth proportional to 452.36, 678.78 and 354.57 is: 532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.36 : 678.78 = 354.57 : x
  2. Step 2: Convert to fraction form
    452.36/678.78 = 354.57/x
  3. Step 3: Cross multiply
    452.36x = 678.78 × 354.57
  4. Step 4: Simplify right side
    452.36x = 240,675.02
  5. Step 5: Solve for x
    x = 240,675.02/452.36
  6. Step 6: Final answer
    x = 532.05

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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.