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Finding the Fourth Proportional to 465.84, 699.24 and 304.68

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Solution

The fourth proportional to 465.84, 699.24 and 304.68 is: 457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 699.24 = 304.68 : x
  2. Step 2: Convert to fraction form
    465.84/699.24 = 304.68/x
  3. Step 3: Cross multiply
    465.84x = 699.24 × 304.68
  4. Step 4: Simplify right side
    465.84x = 213,044.44
  5. Step 5: Solve for x
    x = 213,044.44/465.84
  6. Step 6: Final answer
    x = 457.33

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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.