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Finding the Fourth Proportional to 452.10, 678.14 and 208.48

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Solution

The fourth proportional to 452.10, 678.14 and 208.48 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.10 : 678.14 = 208.48 : x
  2. Step 2: Convert to fraction form
    452.10/678.14 = 208.48/x
  3. Step 3: Cross multiply
    452.10x = 678.14 × 208.48
  4. Step 4: Simplify right side
    452.10x = 141,378.63
  5. Step 5: Solve for x
    x = 141,378.63/452.10
  6. Step 6: Final answer
    x = 312.72

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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.