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Finding the Fourth Proportional to 452.06, 678.07 and 208.58

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Solution

The fourth proportional to 452.06, 678.07 and 208.58 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 678.07 = 208.58 : x
  2. Step 2: Convert to fraction form
    452.06/678.07 = 208.58/x
  3. Step 3: Cross multiply
    452.06x = 678.07 × 208.58
  4. Step 4: Simplify right side
    452.06x = 141,428.71
  5. Step 5: Solve for x
    x = 141,428.71/452.06
  6. Step 6: Final answer
    x = 312.85

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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.