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Finding the Fourth Proportional to 468.51, 701.46 and 304.17

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Solution

The fourth proportional to 468.51, 701.46 and 304.17 is: 455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.51 : 701.46 = 304.17 : x
  2. Step 2: Convert to fraction form
    468.51/701.46 = 304.17/x
  3. Step 3: Cross multiply
    468.51x = 701.46 × 304.17
  4. Step 4: Simplify right side
    468.51x = 213,363.29
  5. Step 5: Solve for x
    x = 213,363.29/468.51
  6. Step 6: Final answer
    x = 455.41

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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.