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Finding the Fourth Proportional to 478.84, 660.70 and 304.12

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Solution

The fourth proportional to 478.84, 660.70 and 304.12 is: 419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.84 : 660.70 = 304.12 : x
  2. Step 2: Convert to fraction form
    478.84/660.70 = 304.12/x
  3. Step 3: Cross multiply
    478.84x = 660.70 × 304.12
  4. Step 4: Simplify right side
    478.84x = 200,932.08
  5. Step 5: Solve for x
    x = 200,932.08/478.84
  6. Step 6: Final answer
    x = 419.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.