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Finding the Fourth Proportional to 452.48, 678.54 and 208.76

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Solution

The fourth proportional to 452.48, 678.54 and 208.76 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.48 : 678.54 = 208.76 : x
  2. Step 2: Convert to fraction form
    452.48/678.54 = 208.76/x
  3. Step 3: Cross multiply
    452.48x = 678.54 × 208.76
  4. Step 4: Simplify right side
    452.48x = 141,652.01
  5. Step 5: Solve for x
    x = 141,652.01/452.48
  6. Step 6: Final answer
    x = 313.06

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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.